18 - Day 5 - Normal Distribution I.py

# ========================
#       Information
# ========================

# Direct Link: https://www.hackerrank.com/challenges/s10-normal-distribution-1/problem
# Difficulty: Easy
# Max Score: 30
# Language: Python

# ========================
#         Solution
# ========================

import math

MU = 20
SD = 2

def normal_cdf(X, MU, SD):
    '''Function to calculate the Cumulative Distribution Function'''
    return 1/2*(1+math.erf((X-MU)/(SD*math.sqrt(2))))

RESULT_1 = normal_cdf(19.5, MU, SD)
RESULT_2 = normal_cdf(22, MU, SD) - normal_cdf(20, MU, SD)

print(round(RESULT_1, 3))
print(round(RESULT_2, 3))

# .erf() -> https://docs.python.org/3.5/library/math.html#math.erf