modelli.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# var.pdf() # densità\n",
    "# var.pmf() # massa\n",
    "# var.cdf() # densità\n",
    "# var.ppf() # quantile\n",
    "# var.rvs() # campione casuale\n",
    "# ripartizione = sm.distributions.ECDF(dataset) # ripartizioe empirica"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bernoulliano"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import bernoulli\n",
    "\n",
    "p = 0.4\n",
    "Be = bernoulli(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(2)\n",
    "\n",
    "plt.vlines(x, 0, Be.pmf(x), linestyles=\"dashed\")\n",
    "plt.plot(x, Be.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-0.1, 1.1, 1000)\n",
    "\n",
    "plt.step(x, Be.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binomiale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import binom\n",
    "\n",
    "n = 5\n",
    "p = 0.4\n",
    "Bi = binom(n, p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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s9COy0I/BDfVnE1QY6enp0e7du1VcXBwYi4uLU15enmprawdc71//9V+VkpKiO++8U6+++uqgj1NWVqbS0tI+4zt37lRiYmIwJQ9JVVVV2LeJ0NGPyENPIgv9iCz0Y2CdnZ1DWi6oMNLa2iqv16vU1NRe46mpqdq3b1+/67z22mt6/PHH1dDQMOTHKS4ultvtDtxvb29XRkaG5syZo6SkpGBKPi+Px6OqqirNnj1bDocjbNtFaOhH5KEnkYV+RBb6MbhzZzYGE/RpmmCcOHFCd9xxhx599FElJycPeT2n0ymn09ln3OFwXJCGX6jtIjT0I/LQk8hCPyIL/RjYUH8uQYWR5ORk2e12NTc39xpvbm5WWlpan+X/8pe/6ODBgyooKAiM+Xy+Mw88YoTeffddff7znw+mBAAAEGWCejdNfHy8ZsyYoerq6sCYz+dTdXW1cnNz+yx/5ZVX6u2331ZDQ0Pg6+abb9asWbPU0NCgjIyM8OwFAACwrKBP07jdbi1atEhZWVnKzs7W+vXr1dHREXh3zcKFCzVu3DiVlZXJ5XJp4sSJvda/+OKLJanPOAAAiE1Bh5H58+fr6NGjWrNmjZqamjR16lRVVlYGLmo9dOiQ4uKY2BUAAAxNSBewFhYWqrCwsN/v1dTUnHfdJ554IpSHBAAAUYpDGAAAwCjCCAAAMIowAgAAjCKMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCOICF6fX3880KbdrTb98UCbvD6/6ZIAAMMkpBlYgXCq3NOo0u171Xi8S5Jd//nnXUof5VJJwQTNnZhuujwAwAXGkREYVbmnUUu31p8NIh9rOt6lpVvrVbmn0VhtAIDhQRiBMV6fX6Xb96q/EzLnxkq37+WUDQBEOcIIjKk70NbniMgn+SU1Hu9S3YG2Ya0LADC8CCMwpuXEwEEklOUAANZEGIExKSNdYV0OAGBNhBEYkz1+tNJHuWQb4Ps2SemjXMoeP3qYKwMADCfCCIyxx9lUUjBBOhs8Punc/ZKCCbLHDRRXAADRgDACo+ZOTNem26crJcnZazxtlEubbp/OPCMAEAOY9AzGzZ2Yrhu+mKJ/fuYtHfxro+7+X1n68pfSOCICADGCIyOICAnxdv1i/hR9/yqfrrsimSACADGEMAIAAIwijCAi+Hx+/fWjU/qw68xtAEDs4JoRRISu017NWveqpBH65je8cjqHsBIAICpwZAQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGEBHscTYtyM7Qdak+2eP4tQSAWMKrPiKCc4RdPym4St/6nE/OEfxaAkAs4VUfAAAYRRhBRPD7/fqwo0cnPWduAwBiB9PBIyKc8nj1d/fXSBqhb3zNq/h40xUBAIYLR0YAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFG8m8bivD6/6g60qeVEl1JGupQ9frTscTbTZQEAMGSEEQur3NOo0u171Xi8KzCWPsqlkoIJmjsx3WhtwbLH2fS/p43Vkb/+lengASDG8KpvUZV7GrV0a32vICJJTce7tHRrvSr3NBqrLRTOEXY9+PcTteAKpoMHgFjDq74FeX1+lW7fq/7mKT03Vrp9r7w+ZjIFAEQ+wogF1R1o63NE5JP8khqPd6nuQNuw1vVp+P1+dfacVreX6eABINZwzYgFtZwYOIiEslwkOOXxasraFyWNUH4+08EDQCzhyIgFpYx0hXU5AABMIoxYUPb40Uof5dJAb+C1nX1XTfb40cNcGQAAwSOMWJA9zqaSggnS2eDxSefulxRMYL4RAIAlEEYsau7EdG26fbpSkpy9xtNGubTp9umWm2cEABC7uIDVwuZOTNfMK5I16Sc7JUlPLL5G13/hUo6IAAAshTBicZ8MHkwFHxmYoh8AgkMYsbg4m01fn5QWuG1VcTab5l6dqqbGRtktvB/RNEU/AAwXwojFuRx2PbJghukyPjWXw66Hb5miioojcjrspssJybkp+v92yrZzU/RzLQ8A9I8LWIEwYIp+AAgdYQQIg2icoh8AhgthxOI6e04rs2iHMot2qLPntOlyQtbZc1pfWL1Ty2tHWHI/onGKfgAYLoQRIAyYoh8AQkcYAcKAKfoBIHSEESAMmKIfAEJHGAHChCn6ASA0zDMChBFT9ANA8DgyAoQZU/QDQHA4MmJxcTabZn3p0sBtq4qz2XTDF5N1tKXF0tPBK4p6AgDDJaQjIxs3blRmZqZcLpdycnJUV1c34LKPPvqorr/+el1yySW65JJLlJeXd97lERyXw65fLc7WrxZny2XRadR1dj8eu2O6vn+Vz7LTwZ8TLT0BgOESdBjZtm2b3G63SkpKVF9frylTpig/P18tLS39Ll9TU6Nbb71VL730kmpra5WRkaE5c+boyJEj4agfAABYXNCnadatW6clS5Zo8eLFkqTy8nLt2LFDW7ZsUVFRUZ/ln3zyyV73H3vsMT377LOqrq7WwoUL+32M7u5udXd3B+63t7dLkjwejzweT7AlD+jctsK5TYSOfkQeehJZ6EdkoR+DG+rPJqgw0tPTo927d6u4uDgwFhcXp7y8PNXW1g5pG52dnfJ4PBo9euDJn8rKylRaWtpnfOfOnUpMTAym5CGpqqoK+zaHS7dXumfXmVMBP83yymnRswIf74ddP/VWWXY/FEU9+SQrP0eiEf2ILPRjYJ2dnUNaLqgw0traKq/Xq9TU1F7jqamp2rdv35C2sWrVKo0dO1Z5eXkDLlNcXCy32x24397eHji9k5SUFEzJ5+XxeFRVVaXZs2fL4XCEbbvDqbPntH5Y96IkKT9/jhLjrXlN8if34ytf+YpGfca606ZHS08UJc+RaEI/Igv9GNy5MxuDGdZXyfvvv19PP/20ampq5HIN/MfG6XTK6XT2GXc4HBek4Rdqu8PB4f/43Rpn9sOaf/h678cIy/ZDUdSTT7LycyQa0Y/IQj8GNtSfS1CvksnJybLb7Wpubu413tzcrLS0tPOu+/Of/1z333+/fv/732vy5MnBPCwAAIhiQb2bJj4+XjNmzFB1dXVgzOfzqbq6Wrm5uQOu9+CDD2rt2rWqrKxUVlbWp6sYAABElaCPH7vdbi1atEhZWVnKzs7W+vXr1dHREXh3zcKFCzVu3DiVlZVJkh544AGtWbNGTz31lDIzM9XU1CRJuuiii3TRRReFe38AAIDFBB1G5s+fr6NHj2rNmjVqamrS1KlTVVlZGbio9dChQ4qL+/iAy6ZNm9TT06N/+Id/6LWdkpIS/eQnPwnHPgAAAAsL6cq6wsJCFRYW9vu9mpqaXvcPHjwYWmUYkjibTTnjRwduW1WczabszEvU1tZm6f1QFPUEAIaL9S/zj3Euh13bvj/w9TpW4XLY9eSd16iiosLyU6hHS08AYLjwqb0AAMAowggAADCK0zQW19lzWtc98JIk6bVVsyw722dnz2nNvP8l9fTYdWPeaY2y8ARC0dITABguvEpGgbaOHtMlhMVHnR5J0XHBZ7T0BACGA6dpAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRvJvG4uJsNk2+bFTgtlXF2WyaNC5Jx44dt/R+KIp6AgDDhTBicS6HXS8UXme6jE/N5bDr/971d1EzHXw09AQAhgunaQAAgFGEEQAAYBSnaSzuVI9XeeteliT93n2DEuKteYrjzH68olOn7JqV55XDwtPBR0tPAGC4EEYszi+/jhw7FbhtVWf2o0uSzdL7oSjqCQAMF07TAAAAowgjAADAKMIIAAAwijACAACMIowAAACjeDeNxdlk0xdSLgrctiqbbLri0s/o5MmTlt4PRVFPAGC4EEYsLiHerir3DabL+NQS4u367Q9mqqKiwvLzckRLTwBguHCaBgAAGEUYAQAARnGaxuJO9Xh184bXJEkvFF5n2VMcp3q8Knj4Dzp5Mjqmg4+GngDAcCGMWJxffv255WTgtlX55dd7RzuiZjr4aOgJAAwXTtMAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKN4N43F2WTTuIsTAret6sx+uHTq1ClL74eiqCcAMFxiNox4fX798UCbdrfaNOZAm3KvSJE9znp/OBLi7fpD0VdMl/GpJcTbVfPPX46a6eCjoSfR8hwBEPliMoxU7mlU6fa9ajzeJcmu//zzLqWPcqmkYILmTkw3XR5gHM8RAMMp5q4ZqdzTqKVb68++yH6s6XiXlm6tV+WeRmO1AZGA5wiA4RZTYcTr86t0+95+58Q8N1a6fa+8PuvMmtnlOTP1+M0bXlOXx2u6nJB1ebz6+/I39PM/2S29H7J4T6LxOQIg8sVUGKk70Nbnv71P8ktqPN6lugNtw1rXp+Hz+/Wnvx7Xn/56XD6/df9A+Px+vX2kXYc7bJbeD1m8J9H4HAEQ+WIqjLScGPhFNpTlgGjDcwSACTEVRlJGusK6HBBteI4AMCGmwkj2+NFKH+UacOYHm6T0US5ljx89zJUBkYHnCAATYiqM2ONsKimYIJ19Uf2kc/dLCiYwlwJiFs8RACbEVBiRpLkT07Xp9ulKSXL2Gk8b5dKm26czhwJiHs8RAMMtJic9mzsxXTOvSFZuWbU8ntPauGC6Zl2Vbtn/9kZ/Jt50CWFxSaJDPT09pssIC6v3JNqeIwAiW0yGEUka6XLorXu+qoqKCt3wxUst+yKbGD9C9atnmy7jU0uMH6G64lmqqKhQYry1fy2jpSfR8hwBEPli7jQNAACILIQRAABgVMyGkS6PVwsef1MP/z9rTz/e5fFq/i9rNf+XtZbfj2joh+gJAATN2ifnPwWf36+6gx9Jsvb04z7/mY95P3fbqqKlH6InABC0mD0yAgAAIgNhBAAAGEUYAQAARhFGAACAUYQRAABgVMy+m0aSEhxx8nqt/5bFBIfddAlhES39ED0BgKDEbBhJjB+hP63Js/z044nxI/TO2rmmy/jUoqUfoicAEDRO0wAAAKP4dwdAVPP6/Ko70KaWE11KGelS9vjRfOgfEGFiNox0ebz6/v+p19GWOH11tlcOh8N0SSHp8ni1dOtuSdKm22fIZdFrFaKlH6InEaVyT6NKt+9V4/GuwFj6KJdKCiZo7sR0o7UB+FjMhhGf36+X97dKipPXwlNd+/x+vfTu0cBtq4qWfoieRIzKPY1aurVef1t50/EuLd1ar023TyeQABGCa0YARB2vz6/S7Xv7BBFJgbHS7Xvl9VkvZAHRiDACIOrUHWjrdWrmb/klNR7vUt3ZDzS0Aq/vzAcw7m616Y8H2iwbpLw+v2r/8qGebzii2r98aOn9oB/hE7OnaQBEr5YTAweRUJYzrfe1L3b95593WfLal2i5hod+hF9IR0Y2btyozMxMuVwu5eTkqK6u7rzL//rXv9aVV14pl8ulSZMmqaKiItR6AWBQKSNdYV3OpHPXvvztkZ5z175U7mk0Vlsw2I/IEmn7EXQY2bZtm9xut0pKSlRfX68pU6YoPz9fLS0t/S7/+uuv69Zbb9Wdd96pt956S/PmzdO8efO0Z8+ecNQPAH1kjx+t9FEuDfQGXtvZ/wCzx48e5sqCEy3XvrAfkSUS9yPo0zTr1q3TkiVLtHjxYklSeXm5duzYoS1btqioqKjP8r/4xS80d+5c3X333ZKktWvXqqqqShs2bFB5eXm/j9Hd3a3u7u7A/ePHj0uS2tra5PF4gi25X509p+Xr7jyz3Q/bdLor8v9D6s8n9+PDDz/UKYvOlBkt/RA9iRgrrx+ru58980/PJ19SbWfvr7z+czr2UWRfM7Lrg490pOX8NR5p6dTvG/6irM9eMmx1BYv9iCzDuR8nTpyQJPkHe0eePwjd3d1+u93uf+6553qNL1y40H/zzTf3u05GRob/3/7t33qNrVmzxj958uQBH6ekpMR/9vWCL7744osvvviy+Nfhw4fPmy+C+pettbVVXq9XqampvcZTU1O1b9++ftdpamrqd/mmpqYBH6e4uFhutztw3+fzqa2tTWPGjJHNFr6ZE9vb25WRkaHDhw8rKSkpbNtFaOhH5KEnkYV+RBb6MTi/368TJ05o7Nix510uIo8fO51OOZ3OXmMXX3zxBXu8pKQkfpEiCP2IPPQkstCPyEI/zm/UqFGDLhPUBazJycmy2+1qbm7uNd7c3Ky0tLR+10lLSwtqeQAAEFuCCiPx8fGaMWOGqqurA2M+n0/V1dXKzc3td53c3Nxey0tSVVXVgMsDAIDYEvRpGrfbrUWLFikrK0vZ2dlav369Ojo6Au+uWbhwocaNG6eysjJJ0vLly3XDDTfooYce0k033aSnn35au3bt0ubNm8O/N0FyOp0qKSnpc0oIZtCPyENPIgv9iCz0I3xs/kHfb9PXhg0b9LOf/UxNTU2aOnWq/v3f/105OTmSpBtvvFGZmZl64oknAsv/+te/1j333KODBw/qC1/4gh588EF9/etfD++eAAAASwopjAAAAIQLH5QHAACMIowAAACjCCMAAMAowggAADAqpsPIxo0blZmZKZfLpZycHNXV1ZkuKSaVlZXpmmuu0ciRI5WSkqJ58+bp3XffNV0Wzrr//vtls9m0YsUK06XErCNHjuj222/XmDFjlJCQoEmTJmnXrl2my4pZXq9Xq1ev1vjx45WQkKDPf/7zWrt27eAfBocBxWwY2bZtm9xut0pKSlRfX68pU6YoPz9fLS0tpkuLOS+//LKWLVumN954Q1VVVfJ4PJozZ446OjpMlxbz3nzzTf3yl7/U5MmTTZcSsz766CPNnDlTDodDv/3tb7V371499NBDuuSSyP1U2Gj3wAMPaNOmTdqwYYPeeecdPfDAA3rwwQf18MMPmy7NsmL2rb05OTm65pprtGHDBunsTLIZGRn6p3/6JxUVFZkuL6YdPXpUKSkpevnll/XlL3/ZdDkx6+TJk5o+fboeeeQR/fSnP9XUqVO1fv1602XFnKKiIv3hD3/Qq6++aroUnPWNb3xDqampevzxxwNj3/zmN5WQkKCtW7carc2qYvLISE9Pj3bv3q28vLzAWFxcnPLy8lRbW2u0NkjHjx+XJI0ePdp0KTFt2bJluummm3o9TzD8XnjhBWVlZelb3/qWUlJSNG3aND366KOmy4pp1157raqrq7V//35J0v/8z//otdde09e+9jXTpVlWRH5q74XW2toqr9er1NTUXuOpqanat2+fsbpw5gjVihUrNHPmTE2cONF0OTHr6aefVn19vd58803TpcS8999/X5s2bZLb7daPfvQjvfnmm/rBD36g+Ph4LVq0yHR5MamoqEjt7e268sorZbfb5fV6de+992rBggWmS7OsmAwjiFzLli3Tnj179Nprr5kuJWYdPnxYy5cvV1VVlVwul+lyYp7P51NWVpbuu+8+SdK0adO0Z88elZeXE0YMeeaZZ/Tkk0/qqaee0tVXX62GhgatWLFCY8eOpSchiskwkpycLLvdrubm5l7jzc3NSktLM1ZXrCssLNRvfvMbvfLKK7rssstMlxOzdu/erZaWFk2fPj0w5vV69corr2jDhg3q7u6W3W43WmMsSU9P14QJE3qNXXXVVXr22WeN1RTr7r77bhUVFemWW26RJE2aNEkffPCBysrKCCMhislrRuLj4zVjxgxVV1cHxnw+n6qrq5Wbm2u0tljk9/tVWFio5557Ti+++KLGjx9vuqSY9tWvflVvv/22GhoaAl9ZWVlasGCBGhoaCCLDbObMmX3e6r5//3599rOfNVZTrOvs7FRcXO8/n3a7XT6fz1hNVheTR0Ykye12a9GiRcrKylJ2drbWr1+vjo4OLV682HRpMWfZsmV66qmn9Pzzz2vkyJFqamqSJI0aNUoJCQmmy4s5I0eO7HO9zmc+8xmNGTOG63gMWLlypa699lrdd999+va3v626ujpt3rxZmzdvNl1azCooKNC9996ryy+/XFdffbXeeustrVu3Tt/5zndMl2Zd/hj28MMP+y+//HJ/fHy8Pzs72//GG2+YLikmSer361e/+pXp0nDWDTfc4F++fLnpMmLW9u3b/RMnTvQ7nU7/lVde6d+8ebPpkmJae3u7f/ny5f7LL7/c73K5/J/73Of8P/7xj/3d3d2mS7OsmJ1nBAAARIaYvGYEAABEDsIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKMIIwAAwCjCCAAAMIowAgAAjPr/gRKUp/eVwkUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(10)\n",
    "\n",
    "plt.vlines(x, 0, Bi.pmf(x), linestyles=\"dashed\")\n",
    "plt.plot(x, Bi.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-1, 8, 1000)\n",
    "\n",
    "plt.step(x, Bi.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(-1, 9))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniforme discreto"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import randint\n",
    "\n",
    "n = 10\n",
    "UnDi = randint(1, n+1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGDGiOVlZVKSUlRTEyMsrKy1NDQcNTzW1tbtXTpUk2cOFFOp1Pf+9739Oqrrw62GQAAHENGhXuHmpoauVwuVVVVKSsrSxUVFcrLy9MHH3ygCRMm9Dq/s7NTc+fO1YQJE/TSSy8pKSlJn376qU444YSh+hwAAIDFwh4jq1ev1pIlS1RYWChJqqqq0qZNm7Ru3TqtWLGi1/nr1q3ToUOHtHXrVkVFRUmSUlJShqIdAAAcA8IaI52dndqxY4eKi4uDxyIjI5Wbm6tt27b1eZ9f/vKXys7O1tKlS/XKK6/opJNO0sKFC3XLLbfI4XD0eR+v1yuv1xu87fF4JEk+n08+ny+cZOO6e23r7mZzv83tsrzf5nZZ3k+7OTb3D1d7qI8XEQgEAqE+6Oeff66kpCRt3bpV2dnZweM333yztmzZou3bt/e6z8yZM/XJJ59o0aJFuv7667Vnzx5df/31+vGPf6zS0tI+n2fVqlUqKyvrdby6ulqxsbGh5gIAAIM6Ojq0cOFCtbW1KS4urt/zwr5MEy6/368JEyboqaeeksPhUHp6uvbt26cHHnig3zFSXFwsl8sVvO3xeJScnKycnBzFx8cPd/KQ8vl8qqur09y5c4OXqWxic7/N7bK83+Z2Wd5Puzk29w9Xe/eVjYGENUbGjx8vh8Oh5ubmHsebm5uVmJjY530mTpyoqKioHpdkTjvtNDU1Namzs1PR0dG97uN0OuV0Onsdj4qKsu4vuJvN7bK83+Z2Wd5vc7ss76fdHJv7h7o91McK61t7o6OjlZ6eLrfbHTzm9/vldrt7XLb5unPPPVd79uyR3+8PHvvwww81ceLEPocIAAD4bgn754y4XC49/fTT+slPfqL3339f1113ndrb24PfXZOfn9/jDa7XXXedDh06pGXLlunDDz/Upk2bdM8992jp0qVD+5kAAAArhf2ekQULFujAgQMqKSlRU1OT0tLSVFtbq4SEBEnS3r17FRn5j42TnJyszZs364YbbtCsWbOUlJSkZcuW6ZZbbhnazwQAAFhpUG9gLSoqUlFRUZ9/Vl9f3+tYdna23njjjcE8FQAAOMbxu2kAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGDUoMZIZWWlUlJSFBMTo6ysLDU0NPR77vr16xUREdHjIyYm5ps0AwCAY0jYY6SmpkYul0ulpaXauXOnUlNTlZeXp5aWln7vExcXp/379wc/Pv3002/aDQAAjhGjwr3D6tWrtWTJEhUWFkqSqqqqtGnTJq1bt04rVqzo8z4RERFKTEwM+Tm8Xq+8Xm/wtsfjkST5fD75fL5wk43q7rWtu5vN/Ta3y/J+m9tleT/t5tjcP1ztoT5eRCAQCIT6oJ2dnYqNjdVLL72k+fPnB48XFBSotbVVr7zySq/7rF+/XosXL1ZSUpL8fr/OPvts3XPPPTrjjDP6fZ5Vq1aprKys1/Hq6mrFxsaGmgsAAAzq6OjQwoUL1dbWpri4uH7PC+uVkYMHD6qrq0sJCQk9jickJGj37t193mfGjBlat26dZs2apba2Nj344IOaM2eO3n33XZ188sl93qe4uFgulyt42+PxKDk5WTk5OYqPjw8n2Tifz6e6ujrNnTtXUVFRpnPCZnO/ze2yvN/mdlneT7s5NvcPV3v3lY2BhH2ZJlzZ2dnKzs4O3p4zZ45OO+00Pfnkk7rzzjv7vI/T6ZTT6ex1PCoqyrq/4G42t8vyfpvbZXm/ze2yvJ92c2zuH+r2UB8rrDewjh8/Xg6HQ83NzT2ONzc3h/yekKioKM2ePVt79uwJ56kBAMAxKqwxEh0drfT0dLnd7uAxv98vt9vd49WPo+nq6tI777yjiRMnhl8LAACOOWFfpnG5XCooKFBGRoYyMzNVUVGh9vb24HfX5OfnKykpSeXl5ZKkO+64Q//0T/+k6dOnq7W1VQ888IA+/fRTLV68eOg/GwAAYJ2wx8iCBQt04MABlZSUqKmpSWlpaaqtrQ2+qXXv3r2KjPzHCy5ffPGFlixZoqamJp144olKT0/X1q1bdfrppw/tZwIAAKw0qDewFhUVqaioqM8/q6+v73H74Ycf1sMPPzy4OgAAcMzjd9MAAACjGCMAAMAoxggAADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMIoxAgAAjGKMAAAAoxgjAADAKMYIAAAwijECAACMYowAAACjGCMAAMAoxggAADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMIoxAgAAjGKMAAAAoxgjAADAKMYIAAAwijECAACMYowAAACjGCMAAMCoQY2RyspKpaSkKCYmRllZWWpoaAjpfs8//7wiIiI0f/78wTwtAAA4BoU9RmpqauRyuVRaWqqdO3cqNTVVeXl5amlpOer9PvnkE914440677zzvkkvAAA4xowK9w6rV6/WkiVLVFhYKEmqqqrSpk2btG7dOq1YsaLP+3R1dWnRokUqKyvTH//4R7W2th71Obxer7xeb/C2x+ORJPl8Pvl8vnCTjeruta27m839NrfL8n6b22V5P+3m2Nw/XO2hPl5EIBAIhPqgnZ2dio2N1UsvvdTjUktBQYFaW1v1yiuv9Hm/0tJS/fnPf9bLL7+sH/7wh2ptbdXGjRv7fZ5Vq1aprKys1/Hq6mrFxsaGmgsAAAzq6OjQwoUL1dbWpri4uH7PC+uVkYMHD6qrq0sJCQk9jickJGj37t193uf111/X2rVr1djYGPLzFBcXy+VyBW97PB4lJycrJydH8fHx4SQb5/P5VFdXp7lz5yoqKsp0Tths7re5XZb329wuy/tpN8fm/uFq776yMZCwL9OE4/Dhw7r66qv19NNPa/z48SHfz+l0yul09joeFRVl3V9wN5vbZXm/ze2yvN/mdlneT7s5NvcPdXuojxXWGBk/frwcDoeam5t7HG9ublZiYmKv8//617/qk08+0bx584LH/H7////Eo0bpgw8+0LRp08JJAAAAx5iwvpsmOjpa6enpcrvdwWN+v19ut1vZ2dm9zp85c6beeecdNTY2Bj8uu+wy5eTkqLGxUcnJyUPzWQAAAGuFfZnG5XKpoKBAGRkZyszMVEVFhdrb24PfXZOfn6+kpCSVl5crJiZGZ555Zo/7n3DCCZLU6zgAAPhuCnuMLFiwQAcOHFBJSYmampqUlpam2tra4Jta9+7dq8hIfrArAAAIzaDewFpUVKSioqI+/6y+vv6o912/fv1gnhIAAByjeAkDAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGDWqMVFZWKiUlRTExMcrKylJDQ0O/5/7iF79QRkaGTjjhBB133HFKS0vThg0bvkkzAAA4hoQ9RmpqauRyuVRaWqqdO3cqNTVVeXl5amlp6fP8cePG6bbbbtO2bdv05z//WYWFhSosLNTmzZuHoh8AAFhuVLh3WL16tZYsWaLCwkJJUlVVlTZt2qR169ZpxYoVvc6/4IILetxetmyZfvKTn+j1119XXl5en8/h9Xrl9XqDtz0ejyTJ5/PJ5/OFm2xUd69t3d1s7re5XZb329wuy/tpN8fm/uFqD/XxIgKBQCDUB+3s7FRsbKxeeuklzZ8/P3i8oKBAra2teuWVV456/0AgoN///ve67LLLtHHjRs2dO7fP81atWqWysrJex6urqxUbGxtqLgAAMKijo0MLFy5UW1ub4uLi+j0vrFdGDh48qK6uLiUkJPQ4npCQoN27d/d7v7a2NiUlJcnr9crhcOiJJ57od4hIUnFxsVwuV/C2x+NRcnKycnJyFB8fH06ycT6fT3V1dZo7d66ioqJM54TN5n6b22V5v83tsryfdnNs7h+u9u4rGwMJ+zLNYIwZM0aNjY368ssv5Xa75XK5NHXq1F6XcLo5nU45nc5ex6Oioqz7C+5mc7ss77e5XZb329wuy/tpN8fm/qFuD/Wxwhoj48ePl8PhUHNzc4/jzc3NSkxM7Pd+kZGRmj59uiQpLS1N77//vsrLy/sdIwAA4LsjrO+miY6OVnp6utxud/CY3++X2+1WdnZ2yI/j9/t7vEEVAAB8d4V9mcblcqmgoEAZGRnKzMxURUWF2tvbg99dk5+fr6SkJJWXl0uSysvLlZGRoWnTpsnr9erVV1/Vhg0btGbNmqH/bAAAgHXCHiMLFizQgQMHVFJSoqamJqWlpam2tjb4pta9e/cqMvIfL7i0t7fr+uuv1//8z/9o9OjRmjlzpp577jktWLBgaD8TAABgpUG9gbWoqEhFRUV9/ll9fX2P23fddZfuuuuuwdUBAIBjHr+bBgAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARjFGAACAUYwRAABgFGMEAAAYxRgBAABGMUYAAIBRjBEAAGAUYwQAABjFGAEAAEYxRgAAgFGMEQAAYBRjBAAAGMUYAQAARg1qjFRWViolJUUxMTHKyspSQ0NDv+c+/fTTOu+883TiiSfqxBNPVG5u7lHPBwAA3y1hj5Gamhq5XC6VlpZq586dSk1NVV5enlpaWvo8v76+XldddZVee+01bdu2TcnJybrooou0b9++oegHAACWGxXuHVavXq0lS5aosLBQklRVVaVNmzZp3bp1WrFiRa/zf/rTn/a4/cwzz+jnP/+53G638vPz+3wOr9crr9cbvO3xeCRJPp9PPp8v3GSjuntt6+5mc7/N7bK83+Z2Wd5Puzk29w9Xe6iPFxEIBAKhPmhnZ6diY2P10ksvaf78+cHjBQUFam1t1SuvvDLgYxw+fFgTJkzQiy++qH/913/t85xVq1aprKys1/Hq6mrFxsaGmgsAAAzq6OjQwoUL1dbWpri4uH7PC+uVkYMHD6qrq0sJCQk9jickJGj37t0hPcYtt9yiSZMmKTc3t99ziouL5XK5grc9Ho+Sk5OVk5Oj+Pj4cJKN8/l8qqur09y5cxUVFWU6J2w299vcLsv7bW6X5f20m2Nz/3C1d1/ZGEjYl2m+iXvvvVfPP/+86uvrFRMT0+95TqdTTqez1/GoqCjr/oK72dwuy/ttbpfl/Ta3y/J+2s2xuX+o20N9rLDGyPjx4+VwONTc3NzjeHNzsxITE4963wcffFD33nuvfve732nWrFnhPC0AADiGhfXdNNHR0UpPT5fb7Q4e8/v9crvdys7O7vd+999/v+68807V1tYqIyPjmxUDAIBjStiXaVwulwoKCpSRkaHMzExVVFSovb09+N01+fn5SkpKUnl5uSTpvvvuU0lJiaqrq5WSkqKmpiZJ0vHHH6/jjz9+qD8fAABgmbDHyIIFC3TgwAGVlJSoqalJaWlpqq2tDb6pde/evYqM/McLLmvWrFFnZ6f+8z//s8fjlJaWatWqVUPxOQAAAIsN6g2sRUVFKioq6vPP6uvre9z+5JNPBlcGAAC+E/jdNAAAwCjGCAAAMIoxAgAAjGKMAAAAoxgjAADAKMYIAAAwijECAACMYowAAACjGCMAAMAoxggAADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMIoxAgAAjGKMAAAAoxgjAADAKMYIAAAwijECAACMYowAAACjGCMAAMAoxggAADCKMQIAAIxijAAAAKMYI8Ooyx/Q9o8PacfBCG3/+JC6/AHTSWGxud/mdlneb3O7LO+n3Ryb+0dCe0QgEBjx/8Q8Ho/Gjh2rgwcPKj4+3nROSGp37VfZr97T/rYjwWMTx8aodN7p+v6ZE422hcLmfpvbZXm/ze2yvJ92c2zuH+727q/fbW1tiouL6/e8Qb0yUllZqZSUFMXExCgrK0sNDQ39nvvuu+/qP/7jP5SSkqKIiAhVVFQM5imtUrtrv657bmePv1xJamo7ouue26naXfuNtYXC5n6b22V5v83tsryfdnNs7h9J7WGPkZqaGrlcLpWWlmrnzp1KTU1VXl6eWlpa+jy/o6NDU6dO1b333qvExMShaB7RuvwBlf3qPfX1clP3sbJfvTdiX8Kzud/mdlneb3O7LO+n3Ryb+0da+6hw77B69WotWbJEhYWFkqSqqipt2rRJ69at04oVK3qdf8455+icc86RpD7/vC9er1derzd42+PxSJJ8Pp98Pl+4yd+q7R8f6rUyvy4gaX/bEW3b06KsKeO+1bZQ2Nxvc7ss77e5XZb3026Ozf3fVnuoX7PDGiOdnZ3asWOHiouLg8ciIyOVm5urbdu2hV/Zj/LycpWVlfU6/tprryk2NnbInmc47DgYIckx4Hm//eN2/e39kbeWbe63uV2W99vcLsv7aTfH5v5vq72joyOk88IaIwcPHlRXV5cSEhJ6HE9ISNDu3bvDKzyK4uJiuVyu4G2Px6Pk5GTl5OSM+Dewxn98SP/vL28NeN5F52WNuKUsy/ttbpfl/Ta3y/J+2s2xuf/bau++sjGQsC/TfBucTqecTmev41FRUYqKijLSFKrs6RM0cWyMmtqO9HktLkJS4tgYZU+fIEdkhIHCo7O53+Z2Wd5vc7ss76fdHJv7v632UL9mh/UG1vHjx8vhcKi5ubnH8ebm5u/Em1ND4YiMUOm806W//2V+Xfft0nmnj7h/MbvZ3G9zuyzvt7ldlvfTbo7N/SOtPawxEh0drfT0dLnd7uAxv98vt9ut7Ozs4eiz0vfPnKg1PzhbiWNjehxPHBujNT84e8R/37nN/Ta3y/J+m9tleT/t5tjcP5Law/6hZzU1NSooKNCTTz6pzMxMVVRU6IUXXtDu3buVkJCg/Px8JSUlqby8XPr7m17fe+89SdIll1yiRYsWadGiRTr++OM1ffr0kJ7Txh96pr9/69S2PS367R+366LzskbkS3VHY3O/ze2yvN/mdlneT7s5NvcPZ3uoP/Qs7PeMLFiwQAcOHFBJSYmampqUlpam2tra4Jta9+7dq8jIf7zg8vnnn2v27NnB2w8++KAefPBBnX/++aqvrw//M7OIIzJCWVPG6W/vB5Q1ZZw1/2J2s7nf5nZZ3m9zuyzvp90cm/tHQvug3sBaVFSkoqKiPv/s/w6MlJQUWfAT54fFEV+Xrqh6Q62tDv3L3K4R/+bb/8vmfpvbZXm/ze2yvJ92c2zuHwntI/K7aY4V/kBA7+zzSIqQ38JBZnO/ze2yvN/mdlneT7s5NvePhHZ+ay8AADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMIoxMsxOjI3ScaPsemf119ncb3O7LO+3uV2W99Nujs39ptsZI8MoNnqUGopzdM85XYqNtu+7qG3ut7ldlvfb3C7L+2k3x+b+kdDOGAEAAEYxRgAAgFGMkWF0xNelRWvf1GPvOnTE12U6J2w299vcLsv7bW6X5f20m2Nz/0hot+vClmX8gYAaPvnCyh8PLMv7bW6X5f02t8vyftrNsbl/JLTzyggAADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMIoxMsxGR0UqOtKud1Z/nc39NrfL8n6b22V5P+3m2Nxvup0xMoxio0fpzyW5eiDLvh8PLMv7bW6X5f02t8vyftrNsbl/JLQzRgAAgFGMEQAAYBRjZBgd8XVp8YadevL9SHkt+/HAsrzf5nZZ3m9zuyzvp90cm/tHQrtdF7Ys4w8EtOXDg5Ii1WXZjweW5f02t8vyfpvbZXk/7ebY3D8S2nllBAAAGMUYAQAARjFGAACAUYMaI5WVlUpJSVFMTIyysrLU0NBw1PNffPFFzZw5UzExMTrrrLP06quvDrYXAAAcY8IeIzU1NXK5XCotLdXOnTuVmpqqvLw8tbS09Hn+1q1bddVVV+lHP/qR3n77bc2fP1/z58/Xrl27hqIfAABYLuzvplm9erWWLFmiwsJCSVJVVZU2bdqkdevWacWKFb3Of+SRR/T9739fN910kyTpzjvvVF1dnR5//HFVVVX1+Rxer1derzd4u62tTZJ06NChcHON6uj8Sn5vhyTp0N8O6asjMaaTwmJzv83tsrzf5nZZ3k+7OTb3D2f74cOHJUmBgb5LJxAGr9cbcDgcgZdffrnH8fz8/MBll13W532Sk5MDDz/8cI9jJSUlgVmzZvX7PKWlpQFJfPDBBx988MHHMfDx2WefHXVfhPXKyMGDB9XV1aWEhIQexxMSErR79+4+79PU1NTn+U1NTf0+T3FxsVwuV/B2a2urTjnlFO3du1djx44NJ9k4j8ej5ORkffbZZ4qLizOdEzab+21ul+X9NrfL8n7azbG5f7jaA4GADh8+rEmTJh31vBH5Q8+cTqecTmev42PHjrXuL7hbXFycte2yvN/mdlneb3O7LO+n3Ryb+4ejPZQXEcJ6A+v48ePlcDjU3Nzc43hzc7MSExP7vE9iYmJY5wMAgO+WsMZIdHS00tPT5Xa7g8f8fr/cbreys7P7vE92dnaP8yWprq6u3/MBAMB3S9iXaVwulwoKCpSRkaHMzExVVFSovb09+N01+fn5SkpKUnl5uSRp2bJlOv/88/XQQw/p0ksv1fPPP6+33npLTz31VMjP6XQ6VVpa2uelm5HO5nZZ3m9zuyzvt7ldlvfTbo7N/abbIwIDfr9Nb48//rgeeOABNTU1KS0tTY8++qiysrIkSRdccIFSUlK0fv364Pkvvviibr/9dn3yySc69dRTdf/99+uSSy4Z2s8EAABYaVBjBAAAYKjwu2kAAIBRjBEAAGAUYwQAABjFGAEAAEaN+DFSWVmplJQUxcTEKCsrSw0NDaaTQvKHP/xB8+bN06RJkxQREaGNGzeaTgpZeXm5zjnnHI0ZM0YTJkzQ/Pnz9cEHH5jOCtmaNWs0a9as4E8SzM7O1m9+8xvTWYNy7733KiIiQsuXLzedEpJVq1YpIiKix8fMmTNNZ4Vs3759+sEPfqD4+HiNHj1aZ511lt566y3TWSFJSUnp9c8+IiJCS5cuNZ02oK6uLq1cuVJTpkzR6NGjNW3aNN15550D/3K1EeLw4cNavny5TjnlFI0ePVpz5szRm2++aTqrTwN9bQoEAiopKdHEiRM1evRo5ebm6i9/+cuwd43oMVJTUyOXy6XS0lLt3LlTqampysvLU0tLi+m0AbW3tys1NVWVlZWmU8K2ZcsWLV26VG+88Ybq6urk8/l00UUXqb293XRaSE4++WTde++92rFjh9566y39y7/8iy6//HK9++67ptPC8uabb+rJJ5/UrFmzTKeE5YwzztD+/fuDH6+//rrppJB88cUXOvfccxUVFaXf/OY3eu+99/TQQw/pxBNPNJ0WkjfffLPHP/e6ujpJ0hVXXGE6bUD33Xef1qxZo8cff1zvv/++7rvvPt1///167LHHTKeFZPHixaqrq9OGDRv0zjvv6KKLLlJubq727dtnOq2Xgb423X///Xr00UdVVVWl7du367jjjlNeXp6OHDkyvGFh/NLeb11mZmZg6dKlwdtdXV2BSZMmBcrLy412hUtSr990bJOWlpaApMCWLVtMpwzaiSeeGHjmmWdMZ4Ts8OHDgVNPPTVQV1cXOP/88wPLli0znRSS0tLSQGpqqumMQbnlllsC//zP/2w6Y8gsW7YsMG3atIDf7zedMqBLL700cM011/Q49u///u+BRYsWGWsKVUdHR8DhcAR+/etf9zh+9tlnB2677TZjXaH4v1+b/H5/IDExMfDAAw8Ej7W2tgacTmfgZz/72bC2jNhXRjo7O7Vjxw7l5uYGj0VGRio3N1fbtm0z2vZd09bWJkkaN26c6ZSwdXV16fnnn1d7e7tVv4Jg6dKluvTSS3v8+2+Lv/zlL5o0aZKmTp2qRYsWae/evaaTQvLLX/5SGRkZuuKKKzRhwgTNnj1bTz/9tOmsQens7NRzzz2na665RhEREaZzBjRnzhy53W59+OGHkqQ//elPev3113XxxRebThvQV199pa6uLsXExPQ4Pnr0aGteFez28ccfq6mpqcd/d8aOHausrKxh/7o7In9rryQdPHhQXV1dSkhI6HE8ISFBu3fvNtb1XeP3+7V8+XKde+65OvPMM03nhOydd95Rdna2jhw5ouOPP14vv/yyTj/9dNNZIXn++ee1c+fOEXvN+WiysrK0fv16zZgxQ/v371dZWZnOO+887dq1S2PGjDGdd1QfffSR1qxZI5fLpVtvvVVvvvmmfvzjHys6OloFBQWm88KyceNGtba26oc//KHplJCsWLFCHo9HM2fOlMPhUFdXl+6++24tWrTIdNqAxowZo+zsbN1555067bTTlJCQoJ/97Gfatm2bpk+fbjovLE1NTdLfv85+XUJCQvDPhsuIHSMYGZYuXapdu3ZZt/BnzJihxsZGtbW16aWXXlJBQYG2bNky4gfJZ599pmXLlqmurq7X/2nZ4Ov/Jztr1ixlZWXplFNO0QsvvKAf/ehHRtsG4vf7lZGRoXvuuUeSNHv2bO3atUtVVVXWjZG1a9fq4osv1qRJk0ynhOSFF17QT3/6U1VXV+uMM85QY2Ojli9frkmTJlnxz37Dhg265pprlJSUJIfDobPPPltXXXWVduzYYTrNGiP2Ms348ePlcDjU3Nzc43hzc7MSExONdX2XFBUV6de//rVee+01nXzyyaZzwhIdHa3p06crPT1d5eXlSk1N1SOPPGI6a0A7duxQS0uLzj77bI0aNUqjRo3Sli1b9Oijj2rUqFHq6uoynRiWE044Qd/73ve0Z88e0ykDmjhxYq+xetppp1lzmanbp59+qt/97ndavHix6ZSQ3XTTTVqxYoWuvPJKnXXWWbr66qt1ww03BH/h6kg3bdo0bdmyRV9++aU+++wzNTQ0yOfzaerUqabTwtL9tdXE190RO0aio6OVnp4ut9sdPOb3++V2u6269m+jQCCgoqIivfzyy/r973+vKVOmmE76xvx+v7xer+mMAV144YV655131NjYGPzIyMjQokWL1NjYKIfDYToxLF9++aX++te/auLEiaZTBnTuuef2+hb2Dz/8UKeccoqxpsF49tlnNWHCBF166aWmU0LW0dGhyMieX44cDof8fr+xpsE47rjjNHHiRH3xxRfavHmzLr/8ctNJYZkyZYoSExN7fN31eDzavn37sH/dHdGXaVwulwoKCpSRkaHMzExVVFSovb1dhYWFptMG9OWXX/b4v8GPP/5YjY2NGjdunCZPnmy0bSBLly5VdXW1XnnlFY0ZMyZ4rXDs2LEaPXq06bwBFRcX6+KLL9bkyZN1+PBhVVdXq76+Xps3bzadNqAxY8b0em/Occcdp/j4eCves3PjjTdq3rx5OuWUU/T555+rtLRUDodDV111lem0Ad1www2aM2eO7rnnHv3Xf/2XGhoa9NRTT+mpp54ynRYyv9+vZ599VgUFBRo1akT/572HefPm6e6779bkyZN1xhln6O2339bq1at1zTXXmE4LyebNmxUIBDRjxgzt2bNHN910k2bOnDkiv1YN9LVp+fLluuuuu3TqqadqypQpWrlypSZNmqT58+cPb9iwfq/OEHjssccCkydPDkRHRwcyMzMDb7zxhumkkLz22msBSb0+CgoKTKcNqK9uSYFnn33WdFpIrrnmmsApp5wSiI6ODpx00kmBCy+8MPDb3/7WdNag2fStvQsWLAhMnDgxEB0dHUhKSgosWLAgsGfPHtNZIfvVr34VOPPMMwNOpzMwc+bMwFNPPWU6KSybN28OSAp88MEHplPC4vF4AsuWLQtMnjw5EBMTE5g6dWrgtttuC3i9XtNpIampqQlMnTo1EB0dHUhMTAwsXbo00NraajqrTwN9bfL7/YGVK1cGEhISAk6nM3DhhRd+K/8+RQRs+RF3AADgmDRi3zMCAAC+GxgjAADAKMYIAAAwijECAACMYowAAACjGCMAAMAoxggAADCKMQIAAIxijAAAAKMYIwAAwCjGCAAAMOr/A3CIa5wxS/WUAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(1, 11)\n",
    "\n",
    "plt.vlines(x, 0, UnDi.pmf(x), linestyles=\"dashed\")\n",
    "plt.plot(x, UnDi.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 11, 1000)\n",
    "\n",
    "plt.step(x, UnDi.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Geometrico"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import geom\n",
    "\n",
    "p = 0.5\n",
    "G = geom(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ATTENZIONE! La variabile aleatoria di modello geometrico usato da `scipy` assume il valore del primo successo (supporto $\\lbrace 1, ..., +\\infty \\rbrace$), mentre a lezione contiamo solo il numero di insuccessi (supporto $\\lbrace 0, ..., +\\infty \\rbrace$)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 11)\n",
    "\n",
    "plt.vlines(x, 0, G.pmf(x))\n",
    "plt.plot(x, G.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 11, 1000)\n",
    "\n",
    "plt.step(x, G.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Poisson"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import poisson\n",
    "\n",
    "l = 4\n",
    "P = poisson(l)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ARlFGAACAUZQRAABgFGUEAAAYRRkBAABGDaqMVFRUKCUlRTabTVlZWaqvr+9z++bmZi1dulSJiYmyWq36yle+oldeeWWwmQEAwAgyJtAdqqurZbfbVVlZqaysLJWXlys3N1fvvfeeJk+e3GP7jo4OLViwQJMnT9amTZuUlJSkjz76SBMmTBiq5wAAAMJYwGVk3bp1WrJkiQoLCyVJlZWV2rJli6qqqrRy5coe21dVVen48ePasWOHoqKiJEkpKSlDkR0AAIwAAZWRjo4O7d69W8XFxb6xyMhIzZ8/Xzt37ux1n9/85jfKzs7W0qVL9dJLL+mcc87R4sWLdffdd8tisfS6j8vlksvl8t1vbW2VJLndbrnd7kAi96lrrqGcM9jIHDrhmJvMoUHm0CBzaAQz80DnjPB6vd6BTvrJJ58oKSlJO3bsUHZ2tm98xYoV2rZtm3bt2tVjn5kzZ+rDDz/UzTffrG9/+9vav3+/vv3tb+s73/mOSkpKen2cNWvWqLS0tMf4hg0bFBMTM9C4AADAoPb2di1evFgtLS2KjY31u13Ap2kC5fF4NHnyZD355JOyWCxKT0/XoUOH9PDDD/stI8XFxbLb7b77ra2tSk5OVk5OTp9PJlBut1u1tbVasGCB7xTScEfm0AnH3GQODTKHBplDI5iZu85s9CegMhIXFyeLxSKn09lt3Ol0KiEhodd9EhMTFRUV1e2UzIUXXqimpiZ1dHQoOjq6xz5Wq1VWq7XHeFRUVFC+ucGaN5jIHDrhmJvMoUHm0CBzaAQj80DnC+itvdHR0UpPT5fD4fCNeTweORyObqdtTnfZZZdp//798ng8vrH3339fiYmJvRYRAAAwugR8nRG73a6nnnpKP/vZz/Tuu+/qjjvuUFtbm+/dNfn5+d0WuN5xxx06fvy4li1bpvfff19btmzR/fffr6VLlw7tMwEAAGEp4DUjeXl5Onr0qFavXq2mpialpaWppqZG8fHxkqSDBw8qMvLzjpOcnKytW7fqzjvv1OzZs5WUlKRly5bp7rvvHtpnAgAAwtKgFrAWFRWpqKio16/V1dX1GMvOztbrr78+mIcCAAAjHJ9NAwAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAowZVRioqKpSSkiKbzaasrCzV19f73fbZZ59VREREt5vNZjuTzAAAYAQJuIxUV1fLbrerpKREDQ0NSk1NVW5uro4cOeJ3n9jYWB0+fNh3++ijj840NwAAGCHGBLrDunXrtGTJEhUWFkqSKisrtWXLFlVVVWnlypW97hMREaGEhIQBP4bL5ZLL5fLdb21tlSS53W653e5AI/vVNddQzhlsZA6dcMxN5tAgc2iQOTSCmXmgc0Z4vV7vQCft6OhQTEyMNm3apEWLFvnGCwoK1NzcrJdeeqnHPs8++6xuv/12JSUlyePxaO7cubr//vt10UUX+X2cNWvWqLS0tMf4hg0bFBMTM9C4AADAoPb2di1evFgtLS2KjY31u11AR0aOHTumzs5OxcfHdxuPj4/Xvn37et3nggsuUFVVlWbPnq2WlhatXbtW8+bN0zvvvKNzzz23132Ki4tlt9t991tbW5WcnKycnJw+n0yg3G63amtrtWDBAkVFRQ3ZvMFE5tAJx9xkDg0yhwaZQyOYmbvObPQn4NM0gcrOzlZ2drbv/rx583ThhRfqJz/5ie67775e97FarbJarT3Go6KigvLNDda8wUTm0AnH3GQODTKHBplDIxiZBzpfQAtY4+LiZLFY5HQ6u407nc4BrwmJiorSnDlztH///kAeGgAAjFABlZHo6Gilp6fL4XD4xjwejxwOR7ejH33p7OzU22+/rcTExMDTAgCAESfg0zR2u10FBQXKyMhQZmamysvL1dbW5nt3TX5+vpKSklRWViZJ+v73v69/+Id/0IwZM9Tc3KyHH35YH330kW6//fahfzYAACDsBFxG8vLydPToUa1evVpNTU1KS0tTTU2Nb1HrwYMHFRn5+QGXv//971qyZImampp09tlnKz09XTt27NCsWbOG9pkAAICwNKgFrEVFRSoqKur1a3V1dd3uP/roo3r00UcHlw4AAIx4fDYNAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMGlQZqaioUEpKimw2m7KyslRfXz+g/TZu3KiIiAgtWrRoMA8LAABGoIDLSHV1tex2u0pKStTQ0KDU1FTl5ubqyJEjfe734Ycf6rvf/a4uv/zyM8kLAABGmDGB7rBu3TotWbJEhYWFkqTKykpt2bJFVVVVWrlyZa/7dHZ26uabb1Zpaan++7//W83NzX0+hsvlksvl8t1vbW2VJLndbrnd7kAj+9U111DOGWxkDp1wzE3m0CBzaJA5NIKZeaBzRni9Xu9AJ+3o6FBMTIw2bdrU7VRLQUGBmpub9dJLL/W6X0lJif785z/rxRdf1De+8Q01Nzdr8+bNfh9nzZo1Ki0t7TG+YcMGxcTEDDQuAAAwqL29XYsXL1ZLS4tiY2P9bhfQkZFjx46ps7NT8fHx3cbj4+O1b9++XvfZvn27nnnmGTU2Ng74cYqLi2W32333W1tblZycrJycnD6fTKDcbrdqa2u1YMECRUVFDdm8wUTm0AnH3GQODTKHBplDI5iZu85s9Cfg0zSBOHHihG699VY99dRTiouLG/B+VqtVVqu1x3hUVFRQvrnBmjeYyBw64ZibzKFB5tAgc2gEI/NA5wuojMTFxcliscjpdHYbdzqdSkhI6LH9X//6V3344YdauHChb8zj8fzfA48Zo/fee0/Tp08PJAIAABhhAno3TXR0tNLT0+VwOHxjHo9HDodD2dnZPbafOXOm3n77bTU2Nvpu119/va666io1NjYqOTl5aJ4FAAAIWwGfprHb7SooKFBGRoYyMzNVXl6utrY237tr8vPzlZSUpLKyMtlsNl188cXd9p8wYYIk9RgHAACjU8BlJC8vT0ePHtXq1avV1NSktLQ01dTU+Ba1Hjx4UJGRXNgVAAAMzKAWsBYVFamoqKjXr9XV1fW577PPPjuYhwQAACMUhzAAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGDUoMpIRUWFUlJSZLPZlJWVpfr6er/b/vrXv1ZGRoYmTJigs846S2lpaXruuefOJDMAABhBAi4j1dXVstvtKikpUUNDg1JTU5Wbm6sjR470uv3EiRN1zz33aOfOnfrzn/+swsJCFRYWauvWrUORHwAAhLkxge6wbt06LVmyRIWFhZKkyspKbdmyRVVVVVq5cmWP7a+88spu95ctW6af/exn2r59u3Jzc3t9DJfLJZfL5bvf2toqSXK73XK73YFG9qtrrqGcM9jIHDrhmJvMoUHm0CBzaAQz80DnjPB6vd6BTtrR0aGYmBht2rRJixYt8o0XFBSoublZL730Up/7e71evfbaa7r++uu1efNmLViwoNft1qxZo9LS0h7jGzZsUExMzEDjAgAAg9rb27V48WK1tLQoNjbW73YBHRk5duyYOjs7FR8f3208Pj5e+/bt87tfS0uLkpKS5HK5ZLFY9MQTT/gtIpJUXFwsu93uu9/a2qrk5GTl5OT0+WQC5Xa7VVtbqwULFigqKmrI5g0mModOOOYmc2iQOTTIHBrBzNx1ZqM/AZ+mGYxx48apsbFRJ0+elMPhkN1u17Rp03qcwulitVpltVp7jEdFRQXlmxuseYOJzKETjrnJHBpkDg0yh0YwMg90voDKSFxcnCwWi5xOZ7dxp9OphIQEv/tFRkZqxowZkqS0tDS9++67Kisr81tGAADA6BHQu2mio6OVnp4uh8PhG/N4PHI4HMrOzh7wPB6Pp9sCVQAAMHoFfJrGbreroKBAGRkZyszMVHl5udra2nzvrsnPz1dSUpLKysokSWVlZcrIyND06dPlcrn0yiuv6LnnntP69euH/tkAAICwE3AZycvL09GjR7V69Wo1NTUpLS1NNTU1vkWtBw8eVGTk5wdc2tra9O1vf1v/8z//o7Fjx2rmzJl6/vnnlZeXN7TPBAAAhKVBLWAtKipSUVFRr1+rq6vrdv8HP/iBfvCDHwwuHQAAGPH4bBoAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABg1qDJSUVGhlJQU2Ww2ZWVlqb6+3u+2Tz31lC6//HKdffbZOvvsszV//vw+tweGg06PV7sOHNfuYxHadeC4Oj1e05H6FY6ZAUCSxgS6Q3V1tex2uyorK5WVlaXy8nLl5ubqvffe0+TJk3tsX1dXp5tuuknz5s2TzWbTgw8+qJycHL3zzjtKSkoaqucBDJmaPYdV+vJeHW45Jcmi//rLm0ocb1PJwlm6+uJE0/F6FY6ZAaBLwGVk3bp1WrJkiQoLCyVJlZWV2rJli6qqqrRy5coe2//85z/vdv/pp5/Wr371KzkcDuXn5/f6GC6XSy6Xy3e/tbVVkuR2u+V2uwON7FfXXEM5Z7CRObi2vuPU/9v4J33xmEJTyynd8XyDHr8xVbkXxRtK17twzHy6cPr56ELm0CBzaAQz80DnjPB6vQM+ltvR0aGYmBht2rRJixYt8o0XFBSoublZL730Ur9znDhxQpMnT9YLL7ygf/7nf+51mzVr1qi0tLTH+IYNGxQTEzPQuEBAPF6ptMGi5g5JiuhlC68mREslczsV2duXDQjHzABGj/b2di1evFgtLS2KjY31u11AR0aOHTumzs5Oxcd3/ysrPj5e+/btG9Acd999t6ZMmaL58+f73aa4uFh2u913v7W1VcnJycrJyenzyQTK7XartrZWCxYsUFRU1JDNG0xkDp5dB46r+fU3+9giQs0d0jmz/kFZUyeGMJl/4Zj5i8Ll5+N0ZA4NModGMDN3ndnoT8Cnac7EAw88oI0bN6qurk42m83vdlarVVartcd4VFRUUL65wZo3mMg89P7W/umAtxsuzyMcM/sz3H8+ekPm0CBzaAQj80DnC6iMxMXFyWKxyOl0dht3Op1KSEjoc9+1a9fqgQce0O9//3vNnj07kIcFQmLyOP8FeTDbhUI4ZgaALwrorb3R0dFKT0+Xw+HwjXk8HjkcDmVnZ/vd76GHHtJ9992nmpoaZWRknFliIEgyp05U4nhbrysv9NmKjMTxNmUOo9Md4ZgZAL4o4OuM2O12PfXUU/rZz36md999V3fccYfa2tp8767Jz89XcXGxb/sHH3xQq1atUlVVlVJSUtTU1KSmpiadPHlyaJ8JcIYskREqWThL6mUpaNf9koWzZBlGK0HDMTMAfFHAZSQvL09r167V6tWrlZaWpsbGRtXU1PgWtR48eFCHDx/2bb9+/Xp1dHTo3//935WYmOi7rV27dmifCTAErr44UetvmavJsd3XLCWMt2n9LXOH5TU7wjEzAJxuUAtYi4qKVFRU1OvX6urqut3/8MMPB5cMMOTqixN12Yw4XbLmVUnS07fO0VUXJg7rowvhmBkAuvDZNEAvTn8RvzTl7LB4UQ/HzAAgyggAADCNMgIAAIyijAAAAKMoIwCM6fR4tevAce0+FqFdB46r0zPgj8oCMIKE9HLwANClZs9hlb68V4dbTkmy6L/+8qYSx9tUsnAWb0cGRhmOjAAIuZo9h3XH8w2fFZHPNbWc0h3PN6hmz2G/+wIYeSgjCCoOw+OLOj1elb68V739JHSNlb68l58VYBThNA2ChsPw6E39geM9joiczivpcMsp1R84ruzpk0KaDYAZHBlBUHAYHv4cOeG/iAxmOwDhjzKCIcdhePRl8jjbkG4HIPxRRjDkAjkMj9Enc+pEJY639fiU4S4RkhLH25Q5dWKIkwEwhTKCIcdhePTFEhmhkoWzpM+Kx+m67pcsnMVn6wCjCGUEQ47D8OjP1Rcnav0tczU51tptPGG8TetvmcsCZ2CU4d00GHJdh+GbWk71um4k4rMXHQ7Dj25XX5yoy2bE6ZI1r0qSnr51jq66MJEjIsAoxJERDDkOw2OgTv8ZuDTlbH4mgFGKMoKg4DA8AGCgOE2DoOEwPABgIDgygqDiMDwAoD+UEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAAhAp8erXQeOa/exCO06cJwPfASGAG/tBYABqtlzWKUv7/3sgyAt+q+/vKnE8TaVLJzFtXOAM8CREQAYgJo9h3XH8w09PpG6qeWU7ni+QTV7DhvLBoS7QZWRiooKpaSkyGazKSsrS/X19X63feedd/Rv//ZvSklJUUREhMrLy88kLwCEXKfHq9KX9/b6WUtdY6Uv7+WUDTBIAZeR6upq2e12lZSUqKGhQampqcrNzdWRI0d63b69vV3Tpk3TAw88oISEhKHIDAAhVX/geI8jIqfzSjrcckr1B46HNBcwUgS8ZmTdunVasmSJCgsLJUmVlZXasmWLqqqqtHLlyh7bX3rppbr00kslqdev98blcsnlcvnut7a2SpLcbrfcbnegkf3qmmso5wy2cMvsdn/a7b/JHTxkDp7DzW0D3s7tjg16nsEIt98dInPIBDPzQOcMqIx0dHRo9+7dKi4u9o1FRkZq/vz52rlzZ+Ap/SgrK1NpaWmP8VdffVUxMTFD9jhdamtrh3zOYAuXzK5O+X7MXnvtNVktphMNTDjmJnPwfNASIan/cB+806hX/uetkGQarHD53XE6ModGMDK3t7cPaLuAysixY8fU2dmp+Pj4buPx8fHat29fYAn7UFxcLLvd7rvf2tqq5ORk5eTkKDZ26P7qcLvdqq2t1YIFCxQVFTVk8wZTuGVu7/hUK+pfkyR99atf1fizbKYjDUg45iZz8HR6vNr0yB/lbHX1um4kQlLCeKuK8v5p2H7+Urj97hCZQyaYmbvObPRnWL6112q1ymq19hiPiooKyjc3WPMGU7hkjvJ+/os5KmpMWGRWmOYmc/BESVpz/UW64/kGRZy2aFWfFRFJKll4kWzWaEMJBy5cfnecjsyhEYzMA50voAWscXFxslgscjqd3cadTieLUwGMaFdfnKj1t8zV5NjufygljLdp/S1zuc4IcAYCKiPR0dFKT0+Xw+HwjXk8HjkcDmVnZwcjHwAMG1dfnKjf26/w3X/61jnafvdXKSLAGQr4NI3dbldBQYEyMjKUmZmp8vJytbW1+d5dk5+fr6SkJJWVlUmfLXrdu3ev778PHTqkxsZGfelLX9KMGTOG+vmMaKdfhnrSgePKnjF52J6fBkaq0/+fuzTlbP4fBIZAwGUkLy9PR48e1erVq9XU1KS0tDTV1NT4FrUePHhQkZGfH3D55JNPNGfOHN/9tWvXau3atbriiitUV1c3VM9jxOMy1ACAkWpQC1iLiopUVFTU69e+WDBSUlLk9XJVwjPRdRnqL/4rdl2GmvPVAIBwxmfTDHNchhoAMNJRRoY5LkMNABjpKCPD3JET/ovIYLYDMPqcvvh914HjHEnFsDMsL3qGz00eN7ArUg50OwCjC4vfEQ44MjLMZU6dqMTxNvl782CEpMTxNmVOnRjiZACGu67F71881du1+L1mz2Fj2YDTUUaGOUtkhEoWzpJOu+x0l88vQz2Lax0A6IbF7wgnlJEwwGWoAQSKxe8IJ6wZCRNXX5yoy2bE6ZI1r0qfXYb6qgsTOSICoFcsfkc44chIGOEy1AAGisXvCCeUEQAYgVj8jnBCGQGAEYjF7wgnlBEAGKFY/I5wwQJWABjBWPyOcMCREQAY4cJx8TuXsB9dODICABhWuIT96MOREQDAsMEl7EcnyggAYFjgEvajF2UEADAscAn70WvUlhEWRwHA8MIl7EevUbmAlcVRADD8hPsl7E//I3fSgePKnjE5LN65NByMujLStTjqi8dBuhZHcSEgADCj6xL2TS2nel03EvHZBduG4yXs+SP3zIyq0zQsjgKA4StcL2HPO4DO3KgqIyyOAoDhLdwuYR/uf+QOl/WTo+o0DYujAGD4C6dL2AfyR2729Ekhzdaf4XRqaVQdGQn3xVEAMFqEyyXsw/WP3OF2amlUlZGuxVH+fqQjJCUO08VRAIDhJxz/yB2Op5YGVUYqKiqUkpIim82mrKws1dfX97n9Cy+8oJkzZ8pms+mSSy7RK6+8Mti8ZyRcF0cBAIancPwjdziunwy4jFRXV8tut6ukpEQNDQ1KTU1Vbm6ujhw50uv2O3bs0E033aRvfvObeuutt7Ro0SItWrRIe/bsGYr8AQu3xVEAgOErHP/IHY6nlgJewLpu3TotWbJEhYWFkqTKykpt2bJFVVVVWrlyZY/tf/SjH+nqq6/WXXfdJUm67777VFtbqx//+MeqrKzs9TFcLpdcLpfvfktLiyTp+PHjcrvdgUbu4dLEaFUXXKx/WvvfkqRH//0iXf6V/7s4zd/+9rcznj9Y2js+lcfVLkk6/rfj+vTU8Dns5084ZlaY5iZzaJA5NMIp86WJ0Xrwn6fpoa3v68jJDt94fGy07lrwFV2aGD2sXltsnv/1/dv2t92Z5j5x4oQkyevt55SPNwAul8trsVi8L774Yrfx/Px87/XXX9/rPsnJyd5HH32029jq1au9s2fP9vs4JSUl3s+OFHHjxo0bN27cwvz28ccf99kvAjoycuzYMXV2dio+Pr7beHx8vPbt29frPk1NTb1u39TU5PdxiouLZbfbffc9Ho+OHz+uSZMmKSJi6A51tba2Kjk5WR9//LFiY2OHbN5gInPohGNuMocGmUODzKERzMxer1cnTpzQlClT+txuWF5nxGq1ymrtvqZjwoQJQXu82NjYsPmh6ULm0AnH3GQODTKHBplDI1iZx48f3+82AS1gjYuLk8VikdPp7DbudDqVkJDQ6z4JCQkBbQ8AAEaXgMpIdHS00tPT5XA4fGMej0cOh0PZ2dm97pOdnd1te0mqra31uz0AABhdAj5NY7fbVVBQoIyMDGVmZqq8vFxtbW2+d9fk5+crKSlJZWVlkqRly5bpiiuu0COPPKLrrrtOGzdu1Jtvvqknn3xy6J9NgKxWq0pKSnqcEhrOyBw64ZibzKFB5tAgc2gMh8wR3n7fb9PTj3/8Yz388MNqampSWlqaHnvsMWVlZUmSrrzySqWkpOjZZ5/1bf/CCy/o3nvv1Ycffqgvf/nLeuihh3TttdcO7TMBAABhaVBlBAAAYKiMqs+mAQAAww9lBAAAGEUZAQAARlFGAACAUaO6jFRUVCglJUU2m01ZWVmqr683HcmvP/7xj1q4cKGmTJmiiIgIbd682XSkfpWVlenSSy/VuHHjNHnyZC1atEjvvfee6Vh9Wr9+vWbPnu27EmF2drZ+97vfmY4VkAceeEARERFavny56Sh+rVmzRhEREd1uM2fONB2rX4cOHdItt9yiSZMmaezYsbrkkkv05ptvmo7Vp5SUlB7/1hEREVq6dKnpaH51dnZq1apVmjp1qsaOHavp06frvvvu6//D1gw7ceKEli9frvPPP19jx47VvHnz9MYbb5iO5dPf64jX69Xq1auVmJiosWPHav78+frLX/4SkmyjtoxUV1fLbrerpKREDQ0NSk1NVW5uro4cOWI6Wq/a2tqUmpqqiooK01EGbNu2bVq6dKlef/111dbWyu12KycnR21tbaaj+XXuuefqgQce0O7du/Xmm2/qq1/9qm644Qa98847pqMNyBtvvKGf/OQnmj17tuko/brooot0+PBh32379u2mI/Xp73//uy677DJFRUXpd7/7nfbu3atHHnlEZ599tulofXrjjTe6/TvX1tZKkr7+9a+bjubXgw8+qPXr1+vHP/6x3n33XT344IN66KGH9Pjjj5uO1qfbb79dtbW1eu655/T2228rJydH8+fP16FDh0xHkwbwOvLQQw/pscceU2VlpXbt2qWzzjpLubm5OnXqVPDDBfChvSNKZmamd+nSpb77nZ2d3ilTpnjLysqM5hoIST0+OTkcHDlyxCvJu23bNtNRAnL22Wd7n376adMx+nXixAnvl7/8ZW9tba33iiuu8C5btsx0JL9KSkq8qamppmME5O677/b+4z/+o+kYZ2zZsmXe6dOnez0ej+kofl133XXe2267rdvYv/7rv3pvvvlmY5n6097e7rVYLN7f/va33cbnzp3rveeee4zl8ueLryMej8ebkJDgffjhh31jzc3NXqvV6v3FL34R9Dyj8shIR0eHdu/erfnz5/vGIiMjNX/+fO3cudNotpGspaVFkjRx4kTTUQaks7NTGzduVFtbW1h8fMHSpUt13XXXdfu5Hs7+8pe/aMqUKZo2bZpuvvlmHTx40HSkPv3mN79RRkaGvv71r2vy5MmaM2eOnnrqKdOxAtLR0aHnn39et91225B+AvpQmzdvnhwOh95//31J0p/+9Cdt375d11xzjelofn366afq7OyUzWbrNj527Nhhf9RPkg4cOKCmpqZuvz/Gjx+vrKyskLwuDstP7Q22Y8eOqbOzU/Hx8d3G4+PjtW/fPmO5RjKPx6Ply5frsssu08UXX2w6Tp/efvttZWdn69SpU/rSl76kF198UbNmzTIdq08bN25UQ0PDsDo/3ZesrCw9++yzuuCCC3T48GGVlpbq8ssv1549ezRu3DjT8Xr1wQcfaP369bLb7fre976nN954Q9/5zncUHR2tgoIC0/EGZPPmzWpubtY3vvEN01H6tHLlSrW2tmrmzJmyWCzq7OzUD3/4Q918882mo/k1btw4ZWdn67777tOFF16o+Ph4/eIXv9DOnTs1Y8YM0/H61dTUJH32Oni6+Ph439eCaVSWEYTe0qVLtWfPnrD4C+GCCy5QY2OjWlpatGnTJhUUFGjbtm3DtpB8/PHHWrZsmWpra3v8VTZcnf4X7uzZs5WVlaXzzz9fv/zlL/XNb37TaDZ/PB6PMjIydP/990uS5syZoz179qiysjJsysgzzzyja665RlOmTDEdpU+//OUv9fOf/1wbNmzQRRddpMbGRi1fvlxTpkwZ1v/Wzz33nG677TYlJSXJYrFo7ty5uummm7R7927T0Ya9UXmaJi4uThaLRU6ns9u40+lUQkKCsVwjVVFRkX7729/qD3/4g84991zTcfoVHR2tGTNmKD09XWVlZUpNTdWPfvQj07H82r17t44cOaK5c+dqzJgxGjNmjLZt26bHHntMY8aMUWdnp+mI/ZowYYK+8pWvaP/+/aaj+JWYmNijkF544YXD/vRSl48++ki///3vdfvtt5uO0q+77rpLK1eu1I033qhLLrlEt956q+68807fB7AOV9OnT9e2bdt08uRJffzxx6qvr5fb7da0adNMR+tX12ufqdfFUVlGoqOjlZ6eLofD4RvzeDxyOBxhsTYgXHi9XhUVFenFF1/Ua6+9pqlTp5qONCgej0cul8t0DL++9rWv6e2331ZjY6PvlpGRoZtvvlmNjY2yWCymI/br5MmT+utf/6rExETTUfy67LLLerw1/f3339f5559vLFMgfvrTn2ry5Mm67rrrTEfpV3t7uyIju788WSwWeTweY5kCcdZZZykxMVF///vftXXrVt1www2mI/Vr6tSpSkhI6Pa62Nraql27doXkdXHUnqax2+0qKChQRkaGMjMzVV5erra2NhUWFpqO1quTJ092+6vxwIEDamxs1MSJE3XeeecZzebP0qVLtWHDBr300ksaN26c77zj+PHjNXbsWNPxelVcXKxrrrlG5513nk6cOKENGzaorq5OW7duNR3Nr3HjxvVYh3PWWWdp0qRJw3Z9zne/+10tXLhQ559/vj755BOVlJTIYrHopptuMh3NrzvvvFPz5s3T/fffr//4j/9QfX29nnzyST355JOmo/XL4/Hopz/9qQoKCjRmzPD/tb9w4UL98Ic/1HnnnaeLLrpIb731ltatW6fbbrvNdLQ+bd26VV6vVxdccIH279+vu+66SzNnzhw2ryv9vY4sX75cP/jBD/TlL39ZU6dO1apVqzRlyhQtWrQo+OGC/n6dYezxxx/3nnfeed7o6GhvZmam9/XXXzcdya8//OEPXkk9bgUFBaaj+dVbXknen/70p6aj+XXbbbd5zz//fG90dLT3nHPO8X7ta1/zvvrqq6ZjBWy4v7U3Ly/Pm5iY6I2OjvYmJSV58/LyvPv37zcdq18vv/yy9+KLL/ZarVbvzJkzvU8++aTpSAOydetWryTve++9ZzrKgLS2tnqXLVvmPe+887w2m807bdo07z333ON1uVymo/WpurraO23aNG90dLQ3ISHBu3TpUm9zc7PpWD79vY54PB7vqlWrvPHx8V6r1er92te+FrKfmQjvcL+kHQAAGNFG5ZoRAAAwfFBGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYNT/Bx53iUd2WQSTAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 11)\n",
    "\n",
    "plt.vlines(x, 0, P.pmf(x))\n",
    "plt.plot(x, P.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 11, 1000)\n",
    "\n",
    "plt.step(x, P.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ipergeometrico"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import hypergeom\n",
    "\n",
    "estrazioni = 10\n",
    "corretti = 20\n",
    "sbagliati = 30\n",
    "\n",
    "M = corretti + sbagliati # totale oggetti\n",
    "n = corretti\n",
    "N = estrazioni\n",
    "\n",
    "H = hypergeom(M, n, N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Massa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AwCjKCAAAMIoyAgAAjKKMAAAAowZVRioqKpSamiq73a7s7Gw1NDT0Of/YsWNasWKFkpKSZLPZ9OUvf1kvvPDCYDMDAIARZFSwO9TU1MjhcKiyslLZ2dkqLy9Xbm6u3nrrLU2aNKnH/M7OTi1cuFCTJk3Sxo0blZycrPfff1/jxo0bqscAAAAiWNBlZP369Vq+fLkKCgokSZWVldq8ebOqqqq0Zs2aHvOrqqp09OhRbd++XdHR0ZKk1NTUocgOAABGgKDKSGdnp3bt2qWioiL/WFRUlBYsWKAdO3b0us/vfvc75eTkaMWKFXruued01llnadmyZbr99ttltVp73cftdsvtdvu329raJEkej0cejyeYyH06udZQrhlqZA6fSMxN5vAgc3iQOTxCmXmga1p8Pp9voIt++OGHSk5O1vbt25WTk+MfX716tbZu3aqdO3f22GfmzJl67733dMMNN+hb3/qW9u3bp29961v69re/rZKSkl7vZ+3atSotLe0xXl1drdjY2IHGBQAABnV0dGjZsmVqbW1VXFxcwHlBn6YJltfr1aRJk/TII4/IarUqIyNDBw8e1P333x+wjBQVFcnhcPi329ralJKSokWLFvX5YILl8XhUV1enhQsX+k8hDXdkDp9IzE3m8CBzeJA5PEKZ+eSZjf4EVUbi4+NltVrlcrm6jbtcLiUmJva6T1JSkqKjo7udkjnvvPPU3Nyszs5OxcTE9NjHZrPJZrP1GI+Ojg7JNzdU64YSmcMnEnOTOTzIHB5kDo9QZB7oekG9tDcmJkYZGRlyOp3+Ma/XK6fT2e20zakuuugi7du3T16v1z/29ttvKykpqdciAgAATi9Bv8+Iw+HQo48+ql/84hd68803deutt6q9vd3/6pq8vLxuF7jeeuutOnr0qFauXKm3335bmzdv1t13360VK1YM7SMBAAARKehrRpYuXarDhw+ruLhYzc3NSk9PV21trRISEiRJBw4cUFTUZx0nJSVFW7Zs0W233aa5c+cqOTlZK1eu1O233z60jwQAAESkQV3AWlhYqMLCwl6/Vl9f32MsJydHf/7znwdzVwAAYITjs2kAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGDUoMpIRUWFUlNTZbfblZ2drYaGhoBzn3jiCVkslm43u93+RTIDAIARJOgyUlNTI4fDoZKSEjU2NiotLU25ublqaWkJuE9cXJwOHTrkv73//vtfNDcAABghRgW7w/r167V8+XIVFBRIkiorK7V582ZVVVVpzZo1ve5jsViUmJg44Ptwu91yu93+7ba2NkmSx+ORx+MJNnJAJ9cayjVDjczhE4m5yRweZA4PModHKDMPdE2Lz+fzDXTRzs5OxcbGauPGjVqyZIl/PD8/X8eOHdNzzz3XY58nnnhCt9xyi5KTk+X1ejV//nzdfffdOv/88wPez9q1a1VaWtpjvLq6WrGxsQONCwAADOro6NCyZcvU2tqquLi4gPOCOjJy5MgRdXV1KSEhodt4QkKC9u7d2+s+M2bMUFVVlebOnavW1lY98MADuvDCC/XGG2/o7LPP7nWfoqIiORwO/3ZbW5tSUlK0aNGiPh9MsDwej+rq6rRw4UJFR0cP2bqhRObwicTcZA4PMocHmcMjlJlPntnoT9CnaYKVk5OjnJwc//aFF16o8847Tz/72c+0bt26Xvex2Wyy2Ww9xqOjo0PyzQ3VuqFE5vCJxNxkDg8yhweZwyMUmQe6XlAXsMbHx8tqtcrlcnUbd7lcA74mJDo6WvPmzdO+ffuCuWsAADBCBVVGYmJilJGRIafT6R/zer1yOp3djn70paurS6+//rqSkpKCTwsAAEacoE/TOBwO5efnKzMzU1lZWSovL1d7e7v/1TV5eXlKTk5WWVmZJOn73/++/uVf/kXTp0/XsWPHdP/99+v999/XLbfcMvSPBgAARJygy8jSpUt1+PBhFRcXq7m5Wenp6aqtrfVf1HrgwAFFRX12wOWjjz7S8uXL1dzcrPHjxysjI0Pbt2/XrFmzhvaRAACAiDSoC1gLCwtVWFjY69fq6+u7bf/oRz/Sj370o8GlAwAAIx6fTQMAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMGVUYqKiqUmpoqu92u7OxsNTQ0DGi/p59+WhaLRUuWLBnM3QIAgBEo6DJSU1Mjh8OhkpISNTY2Ki0tTbm5uWppaelzv/fee0/f+c539NWvfvWL5AUAACPMqGB3WL9+vZYvX66CggJJUmVlpTZv3qyqqiqtWbOm1326urp0ww03qLS0VP/7v/+rY8eO9Xkfbrdbbrfbv93W1iZJ8ng88ng8wUYO6ORaQ7lmqJE5fCIxN5nDg8zhQebwCGXmga5p8fl8voEu2tnZqdjYWG3cuLHbqZb8/HwdO3ZMzz33XK/7lZSU6K9//aueffZZff3rX9exY8e0adOmgPezdu1alZaW9hivrq5WbGzsQOMCAACDOjo6tGzZMrW2tiouLi7gvKCOjBw5ckRdXV1KSEjoNp6QkKC9e/f2us+2bdv0+OOPq6mpacD3U1RUJIfD4d9ua2tTSkqKFi1a1OeDCZbH41FdXZ0WLlyo6OjoIVs3lMgcPpGYm8zhQebwIHN4hDLzyTMb/Qn6NE0wjh8/rptuukmPPvqo4uPjB7yfzWaTzWbrMR4dHR2Sb26o1g0lModPJOYmc3iQOTzIHB6hyDzQ9YIqI/Hx8bJarXK5XN3GXS6XEhMTe8z/29/+pvfee0+LFy/2j3m93v+741Gj9NZbb2natGnBRAAAACNMUK+miYmJUUZGhpxOp3/M6/XK6XQqJyenx/yZM2fq9ddfV1NTk/92zTXX6NJLL1VTU5NSUlKG5lEAAICIFfRpGofDofz8fGVmZiorK0vl5eVqb2/3v7omLy9PycnJKisrk91u1+zZs7vtP27cOEnqMQ4AAE5PQZeRpUuX6vDhwyouLlZzc7PS09NVW1vrv6j1wIEDiorijV0BAMDADOoC1sLCQhUWFvb6tfr6+j73feKJJwZzlwAAYITiEAYAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijICAACMoowAAACjKCMAAMAoyggAADCKMgIAAIwaVBmpqKhQamqq7Ha7srOz1dDQEHDub3/7W2VmZmrcuHE644wzlJ6erieffPKLZAYAACNI0GWkpqZGDodDJSUlamxsVFpamnJzc9XS0tLr/AkTJuiOO+7Qjh079Ne//lUFBQUqKCjQli1bhiI/AACIcKOC3WH9+vVavny5CgoKJEmVlZXavHmzqqqqtGbNmh7zL7nkkm7bK1eu1C9+8Qtt27ZNubm5vd6H2+2W2+32b7e1tUmSPB6PPB5PsJEDOrnWUK4ZamQOn0jMTebwIHN4kDk8Qpl5oGtafD6fb6CLdnZ2KjY2Vhs3btSSJUv84/n5+Tp27Jiee+65Pvf3+Xx66aWXdM0112jTpk1auHBhr/PWrl2r0tLSHuPV1dWKjY0daFwAAGBQR0eHli1bptbWVsXFxQWcF9SRkSNHjqirq0sJCQndxhMSErR3796A+7W2tio5OVlut1tWq1U//elPAxYRSSoqKpLD4fBvt7W1KSUlRYsWLerzwQTL4/Gorq5OCxcuVHR09JCtG0pkDp9IzE3m8CBzeJA5PEKZ+eSZjf4EfZpmMMaMGaOmpiZ9/PHHcjqdcjgcmjp1ao9TOCfZbDbZbLYe49HR0SH55oZq3VAic/hEYm4yhweZw4PM4RGKzANdL6gyEh8fL6vVKpfL1W3c5XIpMTEx4H5RUVGaPn26JCk9PV1vvvmmysrKApYRAMHr8vq0c/9R7Tpi0cT9R5UzfZKsURbTsQCgX0G9miYmJkYZGRlyOp3+Ma/XK6fTqZycnAGv4/V6u12gCuCLqd19SF+59yXdWPWq/ucdq26selVfufcl1e4+ZDoaAPQr6NM0DodD+fn5yszMVFZWlsrLy9Xe3u5/dU1eXp6Sk5NVVlYmSSorK1NmZqamTZsmt9utF154QU8++aQ2bNgw9I8GOA3V7j6kW59q1OevRG9uPaFbn2rUhhvn64rZSYbSAUD/gi4jS5cu1eHDh1VcXKzm5malp6ertrbWf1HrgQMHFBX12QGX9vZ2fetb39Lf//53jR49WjNnztRTTz2lpUuXDu0jAU5DXV6fSp/f06OISJJPkkVS6fN7tHBWIqdsAAxbg7qAtbCwUIWFhb1+rb6+vtv2D37wA/3gBz8YXDoAfWrYf1SHWk8E/LpP0qHWE2rYf1Q50yaGNRsADBSfTQNEsJbjgYvIYOYBgAmUESCCTRpjH9J5AGACZQSIYFlTJihprF2BrgaxSEoaa1fWlAlhTgYAA0cZASKYNcqiksWzpE+Lx6lObpcsnsXFqwCGNcoIEOGumJ2kDTfO16S47u9anDjWzst6AUSEsLwdPIDQumJ2ki6aHq85a1+UJD120zxdel4SR0QARASOjAAjxKnF44LU8RQRABGDMgIAAIyijAAAAKMoIwAAwCjKCAAAMIoyAgAAjKKMAAAAoygjAADAKMoIAAAwijIC9KLL69PO/Ue164hFO/cfVZfXZzoSAIxYvB088Dm1uw+p9Pk9OtR6QpJV//POq0oaa1fJ4ll8zgsAhABHRoBT1O4+pFufavy0iHymufWEbn2qUbW7DxnLBgAjFWUE+FSX16fS5/eotxMyJ8dKn9/DKRsAGGKUEeBTDfuP9jgiciqfpEOtJ9Sw/2hYc41kXJsDQFwzAnym5XjgIjKYeegb1+YAOIkjI8CnJo2xD+k8BMa1OQBORRkBPpU1ZYKSxtplCfB1i6SksXZlTZkQ5mQjC9fmAPg8ygjwKWuURSWLZ0mfFo9TndwuWTxL1qhAdQUDwbU5AD6PMgKc4orZSdpw43xNirN1G08ca9eGG+dzLcMQ4NocAJ/HBazA51wxO0kXTY/XnLUvSpIeu2meLj0viSMiQ4RrcwB83qCOjFRUVCg1NVV2u13Z2dlqaGgIOPfRRx/VV7/6VY0fP17jx4/XggUL+pwPDAenFo8LUsdTRIYQ1+YA+Lygy0hNTY0cDodKSkrU2NiotLQ05ebmqqWlpdf59fX1uv766/Xyyy9rx44dSklJ0aJFi3Tw4MGhyA8gwnBtDoDPC/o0zfr167V8+XIVFBRIkiorK7V582ZVVVVpzZo1Peb/8pe/7Lb92GOP6Te/+Y2cTqfy8vJ6vQ+32y232+3fbmtrkyR5PB55PJ5gIwd0cq2hXDPUyBweHs8n3f47ErJHUubLZ8Tr4evStG7zXrmOf/b/euJYm+64cqYunxE/rPNH5s80mcOBzL2v3R+Lz+cb8OvnOjs7FRsbq40bN2rJkiX+8fz8fB07dkzPPfdcv2scP35ckyZN0jPPPKN//dd/7XXO2rVrVVpa2mO8urpasbGxA40LDJq7S1rd8H9d/b6sT2Szmk7Uv0jM/M9PpDWv/F/m/zezSzPH+cQBEWDk6Ojo0LJly9Ta2qq4uLiA84I6MnLkyBF1dXUpISGh23hCQoL27t07oDVuv/12TZ48WQsWLAg4p6ioSA6Hw7/d1tbmP73T14MJlsfjUV1dnRYuXKjo6OghWzeUyBweHZ2faHXDS5Kkyy67TGPPGP4XU0Zq5jWv/F/m5UsujYjMitCfaTKHB5m7O3lmoz9hfTXNPffco6efflr19fWy2wM/6dhsNtlsth7j0dHRIfnmhmrdUCJzaEX7PvvzPDp6VETkJnP4RdLP9ElkDg8yf7bmQARVRuLj42W1WuVyubqNu1wuJSYm9rnvAw88oHvuuUd//OMfNXfu3GDuFgAAjGBBvZomJiZGGRkZcjqd/jGv1yun06mcnJyA+913331at26damtrlZmZ+cUSAwCAESXo0zQOh0P5+fnKzMxUVlaWysvL1d7e7n91TV5enpKTk1VWViZJuvfee1VcXKzq6mqlpqaqublZknTmmWfqzDPPHOrHAwAAIkzQZWTp0qU6fPiwiouL1dzcrPT0dNXW1vovaj1w4ICioj474LJhwwZ1dnbqP//zP7utU1JSorVr1w7FYwAAABFsUBewFhYWqrCwsNev1dfXd9t+7733BpcMAACcFvigPAAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQh1eX1aef+o9p1xKKd+4+qy+szHQkAMMyMMh0AI1ft7kMqfX6PDrWekGTV/7zzqpLG2lWyeJaumJ1kOh4AYJjgyAhConb3Id36VOOnReQzza0ndOtTjardfchYNuCL4GgfMPQ4MoIh1+X1qfT5PertKdonySKp9Pk9WjgrUdYoi4GEwOBwtA8IDY6MYMg17D/a44jIqXySDrWeUMP+o2HNBXwRHO0DQmdQZaSiokKpqamy2+3Kzs5WQ0NDwLlvvPGG/uM//kOpqamyWCwqLy//InkRAVqOBy4ig5kHmNbf0T59erSPUzbA4ARdRmpqauRwOFRSUqLGxkalpaUpNzdXLS0tvc7v6OjQ1KlTdc899ygxMXEoMmOYmzTGPqTzANM42geEVtDXjKxfv17Lly9XQUGBJKmyslKbN29WVVWV1qxZ02P+BRdcoAsuuECSev16b9xut9xut3+7ra1NkuTxeOTxeIKNHNDJtYZyzVCLhMzzzh6jxDibXG3uXv+StEhKHGvTvLPHDNvH4fF80u2/h2vOU5E5dA4dax/wPI8nLuR5BiMSnjs+j8zhEcrMA10zqDLS2dmpXbt2qaioyD8WFRWlBQsWaMeOHcGnDKCsrEylpaU9xl988UXFxsYO2f2cVFdXN+Rrhtpwz3xVokVVbScPvJ16kapPPklXJnRoS+0fDKXrn7tL/v89XnrpJdmsphP1j8yh826rRVL/4d59o0kv/P21sGQarOH+3NEbModHKDJ3dHQMaF5QZeTIkSPq6upSQkJCt/GEhATt3bs3uIR9KCoqksPh8G+3tbUpJSVFixYtUlzc0P3V4fF4VFdXp4ULFyo6OnrI1g2lSMl8laT5b7i0bvNeuY5/dpQraaxdd1w5U7nnJ/S5v2kdnZ9odcNLkqTLLrtMY88Y/qeUyBw6XV6fNj74p36P9hUu/f+G7SvEIuW541RkDo9QZj55ZqM/w/KlvTabTTabrcd4dHR0SL65oVo3lCIh87+mn62LZyZoztoXJUmP3TRPl56XNGyfrE8V7fssY3T0qGH/by0yh1S0pLXXnK9bn2qU5ZSLVnXKcb+SxefLbosxlHDgIuG54/PIHB6hyDzQ9YK6gDU+Pl5Wq1Uul6vbuMvl4uJU9OrU4nFB6viIKCJAb66YnaQNN87XpLjufygljrVrw43zeZ8R4AsIqozExMQoIyNDTqfTP+b1euV0OpWTkxOKfAAwbFwxO0l/dFzs337spnnadvtlFBHgCwr6NI3D4VB+fr4yMzOVlZWl8vJytbe3+19dk5eXp+TkZJWVlUmfXvS6Z88e/38fPHhQTU1NOvPMMzV9+vShfjwAEFIc7QOGXtBlZOnSpTp8+LCKi4vV3Nys9PR01dbW+i9qPXDggKKiPjvg8uGHH2revHn+7QceeEAPPPCALr74YtXX1w/V4wAAABFqUBewFhYWqrCwsNevfb5gpKamyufjXQkBAEDv+GwaAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFGUEQAAYBRlBAAAGEUZAQAARlFGAACAUZQRAABgFGUEAEa4Lq9PO/cf1a4jFu3cf1RdXj5JHcPLKNMBMHCnPqFM3H9UOdMnyRplMR0LwDBWu/uQSp/fo0OtJyRZ9T/vvKqksXaVLJ6lK2YnmY4HSJSRyMETCoBg1e4+pFufatTnj4M0t57QrU81asON83n+wLDAaZoIcPIJ5f+KyGdOPqHU7j5kLBuA4anL61Pp83t6FBFJ/rHS5/dwygbDAmVkmOMJBcBgNOw/2uMPmFP5JB1qPaGG/UfDmgvoDWVkmOMJBcBgtBwP/LwxmHlAKFFGhjmeUAAMxqQx9iGdB4QSZWSY4wkFwGBkTZmgpLF2BXq9nUVS0li7sqZMCHMyoCfKyDDHEwqAwbBGWVSyeJb06fPEqU5ulyyexdsDYFigjAxzPKEAGKwrZidpw43zNSnO1m08cax92L+slzdqO72ctu8zEklvIHbyCaXkd2/I1eb2jyfyPiMA+nHF7CRdND1ec9a+KEl67KZ5uvS8pGH7fCfeV+m0dFqWkUj8QY/EJxQAw8OpzxMXpI4f1s8bkfxGbZH0R+5JwyXzaVdGIvkHPZKeUAAgWP29r5Ll0/dVWjgrcdg9/0XiH7nDKfOgrhmpqKhQamqq7Ha7srOz1dDQ0Of8Z555RjNnzpTdbtecOXP0wgsvDDbvF8IbiAHA8BWp76sUie+SPdwyB11Gampq5HA4VFJSosbGRqWlpSk3N1ctLS29zt++fbuuv/56feMb39Brr72mJUuWaMmSJdq9e/dQ5A9KpP6gA8DpIBLfVykS/8gdjpmDPk2zfv16LV++XAUFBZKkyspKbd68WVVVVVqzZk2P+T/+8Y91xRVX6Lvf/a4kad26daqrq9NPfvITVVZW9nofbrdbbvdnF2q2trZKko4ePSqPxxNsZL+//b1ZXnfHgOZ9edyg7yZkOjo/8ec/+o+j+uTE8H9vkUjMrAjNTebwIHPo2L3/HNBztN37T/3jH/8IS6b+vPr+RzrY0vcfsAdbOvTHpr8p89zxYcvVl3BmPn78uCTJ5+un2PiC4Ha7fVar1ffss892G8/Ly/Ndc801ve6TkpLi+9GPftRtrLi42Dd37tyA91NSUuL7tKBx48aNGzdu3CL89sEHH/TZL4I6MnLkyBF1dXUpISGh23hCQoL27t3b6z7Nzc29zm9ubg54P0VFRXI4HP5tr9ero0ePauLEibJYhu6ipba2NqWkpOiDDz5QXFzckK0bSmQOn0jMTebwIHN4kDk8QpnZ5/Pp+PHjmjx5cp/zhuWraWw2m2y27m/SM25c6M6bxMXFRcwPzUlkDp9IzE3m8CBzeJA5PEKVeezYsf3OCeoC1vj4eFmtVrlcrm7jLpdLiYmJve6TmJgY1HwAAHB6CaqMxMTEKCMjQ06n0z/m9XrldDqVk5PT6z45OTnd5ktSXV1dwPkAAOD0EvRpGofDofz8fGVmZiorK0vl5eVqb2/3v7omLy9PycnJKisrkyStXLlSF198sR588EFdffXVevrpp/Xqq6/qkUceGfpHEySbzaaSkpIep4SGMzKHTyTmJnN4kDk8yBwewyGzxdfv6216+slPfqL7779fzc3NSk9P10MPPaTs7GxJ0iWXXKLU1FQ98cQT/vnPPPOM7rzzTr333nv60pe+pPvuu09XXXXV0D4SAAAQkQZVRgAAAIbKoN4OHgAAYKhQRgAAgFGUEQAAYBRlBAAAGHVal5GKigqlpqbKbrcrOztbDQ0NpiMF9Kc//UmLFy/W5MmTZbFYtGnTJtOR+lVWVqYLLrhAY8aM0aRJk7RkyRK99dZbpmP1acOGDZo7d67/nQhzcnL0hz/8wXSsoNxzzz2yWCxatWqV6SgBrV27VhaLpdtt5syZpmP16+DBg7rxxhs1ceJEjR49WnPmzNGrr75qOlafUlNTe/xbWywWrVixwnS0gLq6unTXXXdpypQpGj16tKZNm6Z169b1/2Frhh0/flyrVq3Sueeeq9GjR+vCCy/UK6+8YjqWX3+/R3w+n4qLi5WUlKTRo0drwYIFeuedd8KS7bQtIzU1NXI4HCopKVFjY6PS0tKUm5urlpYW09F61d7errS0NFVUVJiOMmBbt27VihUr9Oc//1l1dXXyeDxatGiR2tvbTUcL6Oyzz9Y999yjXbt26dVXX9Vll12ma6+9Vm+88YbpaAPyyiuv6Gc/+5nmzp1rOkq/zj//fB06dMh/27Ztm+lIffroo4900UUXKTo6Wn/4wx+0Z88ePfjggxo/fnh8Emsgr7zySrd/57q6OknS1772NdPRArr33nu1YcMG/eQnP9Gbb76pe++9V/fdd58efvhh09H6dMstt6iurk5PPvmkXn/9dS1atEgLFizQwYMHTUeTBvB75L777tNDDz2kyspK7dy5U2eccYZyc3N14sSJ0IcL4kN7R5SsrCzfihUr/NtdXV2+yZMn+8rKyozmGghJPT45ORK0tLT4JPm2bt1qOkpQxo8f73vsscdMx+jX8ePHfV/60pd8dXV1vosvvti3cuVK05ECKikp8aWlpZmOEZTbb7/d95WvfMV0jC9s5cqVvmnTpvm8Xq/pKAFdffXVvptvvrnb2L//+7/7brjhBmOZ+tPR0eGzWq2+3//+993G58+f77vjjjuM5Qrk879HvF6vLzEx0Xf//ff7x44dO+az2Wy+X/3qVyHPc1oeGens7NSuXbu0YMEC/1hUVJQWLFigHTt2GM02krW2tkqSJkyYYDrKgHR1denpp59We3t7RHx8wYoVK3T11Vd3+7kezt555x1NnjxZU6dO1Q033KADBw6YjtSn3/3ud8rMzNTXvvY1TZo0SfPmzdOjjz5qOlZQOjs79dRTT+nmm28e0k9AH2oXXnihnE6n3n77bUnSX/7yF23btk1XXnml6WgBffLJJ+rq6pLdbu82Pnr06GF/1E+S9u/fr+bm5m7PH2PHjlV2dnZYfi8Oy0/tDbUjR46oq6tLCQkJ3cYTEhK0d+9eY7lGMq/Xq1WrVumiiy7S7NmzTcfp0+uvv66cnBydOHFCZ555pp599lnNmjXLdKw+Pf3002psbBxW56f7kp2drSeeeEIzZszQoUOHVFpaqq9+9avavXu3xowZYzper959911t2LBBDodD3/ve9/TKK6/o29/+tmJiYpSfn2863oBs2rRJx44d09e//nXTUfq0Zs0atbW1aebMmbJarerq6tIPf/hD3XDDDaajBTRmzBjl5ORo3bp1Ou+885SQkKBf/epX2rFjh6ZPn246Xr+am5ulT38PniohIcH/tVA6LcsIwm/FihXavXt3RPyFMGPGDDU1Nam1tVUbN25Ufn6+tm7dOmwLyQcffKCVK1eqrq6ux19lw9Wpf+HOnTtX2dnZOvfcc/XrX/9a3/jGN4xmC8Tr9SozM1N33323JGnevHnavXu3KisrI6aMPP7447ryyis1efJk01H69Otf/1q//OUvVV1drfPPP19NTU1atWqVJk+ePKz/rZ988kndfPPNSk5OltVq1fz583X99ddr165dpqMNe6flaZr4+HhZrVa5XK5u4y6XS4mJicZyjVSFhYX6/e9/r5dffllnn3226Tj9iomJ0fTp05WRkaGysjKlpaXpxz/+selYAe3atUstLS2aP3++Ro0apVGjRmnr1q166KGHNGrUKHV1dZmO2K9x48bpy1/+svbt22c6SkBJSUk9Cul555037E8vnfT+++/rj3/8o2655RbTUfr13e9+V2vWrNF1112nOXPm6KabbtJtt93m/wDW4WratGnaunWrPv74Y33wwQdqaGiQx+PR1KlTTUfr18nffaZ+L56WZSQmJkYZGRlyOp3+Ma/XK6fTGRHXBkQKn8+nwsJCPfvss3rppZc0ZcoU05EGxev1yu12m44R0OWXX67XX39dTU1N/ltmZqZuuOEGNTU1yWq1mo7Yr48//lh/+9vflJSUZDpKQBdddFGPl6a//fbbOvfcc41lCsbPf/5zTZo0SVdffbXpKP3q6OhQVFT3X09Wq1Ver9dYpmCcccYZSkpK0kcffaQtW7bo2muvNR2pX1OmTFFiYmK334ttbW3auXNnWH4vnranaRwOh/Lz85WZmamsrCyVl5ervb1dBQUFpqP16uOPP+72V+P+/fvV1NSkCRMm6JxzzjGaLZAVK1aourpazz33nMaMGeM/7zh27FiNHj3adLxeFRUV6corr9Q555yj48ePq7q6WvX19dqyZYvpaAGNGTOmx3U4Z5xxhiZOnDhsr8/5zne+o8WLF+vcc8/Vhx9+qJKSElmtVl1//fWmowV022236cILL9Tdd9+t//qv/1JDQ4MeeeQRPfLII6aj9cvr9ernP/+58vPzNWrU8H/aX7x4sX74wx/qnHPO0fnnn6/XXntN69ev180332w6Wp+2bNkin8+nGTNmaN++ffrud7+rmTNnDpvfK/39Hlm1apV+8IMf6Etf+pKmTJmiu+66S5MnT9aSJUtCHy7kr9cZxh5++GHfOeec44uJifFlZWX5/vznP5uOFNDLL7/sk9Tjlp+fbzpaQL3lleT7+c9/bjpaQDfffLPv3HPP9cXExPjOOuss3+WXX+578cUXTccK2nB/ae/SpUt9SUlJvpiYGF9ycrJv6dKlvn379pmO1a/nn3/eN3v2bJ/NZvPNnDnT98gjj5iONCBbtmzxSfK99dZbpqMMSFtbm2/lypW+c845x2e3231Tp0713XHHHT632206Wp9qamp8U6dO9cXExPgSExN9K1as8B07dsx0LL/+fo94vV7fXXfd5UtISPDZbDbf5ZdfHrafGYtvuL+lHQAAGNFOy2tGAADA8EEZAQAARlFGAACAUZQRAABgFGUEAAAYRRkBAABGUUYAAIBRlBEAAGAUZQQAABhFGQEAAEZRRgAAgFH/P9dObSUYLdQkAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 11)\n",
    "\n",
    "plt.vlines(x, 0, H.pmf(x))\n",
    "plt.plot(x, H.pmf(x), 'o')\n",
    "plt.ylim(0, 1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(0, 11))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(0, 10) # ATTENZIONE! non so perchè non funziona linspace o anche arange cambiando i parametri\n",
    "# ATTENZIONE! a 0 la probabilità dovrebbe essere 0, non so come fixare\n",
    "\n",
    "plt.step(x, H.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniforme continuo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import uniform\n",
    "\n",
    "a = 1\n",
    "b = 11\n",
    "UnCo = uniform(a, b-a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Densità"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 12, 1000)\n",
    "\n",
    "plt.plot(x, UnCo.pdf(x))\n",
    "plt.ylim(0, 1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.xticks(np.arange(0, 13))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 12)\n",
    "\n",
    "plt.plot(x, UnCo.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.xticks(range(0, 13))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Esponenziale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import expon\n",
    "\n",
    "l = 1.5\n",
    "E = expon(scale=1/l) # attenzione, va specificato anche scale="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Densità"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 5, 1000)\n",
    "\n",
    "plt.plot(x, E.pdf(x))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 5)\n",
    "\n",
    "plt.plot(x, E.cdf(x))\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normale o Gaussiana"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "mu = 4\n",
    "sigma = 12\n",
    "N = norm(mu, sigma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Densità"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(mu-50, mu+50, 1000)\n",
    "\n",
    "plt.plot(x, N.pdf(x))\n",
    "plt.axvline(mu, color=\"red\", linestyle=\"dashed\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ripartizione"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(mu-50, mu+50, 1000)\n",
    "\n",
    "plt.plot(x, N.cdf(x))\n",
    "plt.axvline(mu, color=\"red\", linestyle=\"dashed\")\n",
    "plt.ylim(-0.1, 1.1)\n",
    "plt.yticks(np.arange(0, 1.1, 0.1))\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}