HackerRank Probability – Day 4: Normal Distribution #1

Challenge: Day 4: Normal Distribution #1

Subdomeniu: Probability (probability)

Scor cont: 5.0 / 5

Submission status: Accepted

Submission score: 1.0

Submission ID: 464717812

Limbaj: python3

Link challenge: https://www.hackerrank.com/challenges/normal-distribution-1/problem

Cerinta

**Objective** <br>
In this challenge, we practice solving problems with normally distributed variables.

**Task** <br>
$X$ is a normally distributed variable with a mean of $μ = 30$ and a standard deviation of $σ = 4$. Find:

- $P(x < 40)$ 
- $P(x > 21)$ 
- $P(30 < x < 35)$

Output Format

Your output must be a floating point/decimal number, correct to a scale of $3$ decimal places. You can submit solutions in either of the $2$ following ways:   

1. Solve the problem manually and submit your result as *Plain Text*. In the text box below, enter $3$ lines of floating point/decimal numbers.

2. Submit an *R* or *Python* program, which uses the above parameters (hard-coded), and computes the answer.

Your answer should resemble something like:

	0.123
	0.456
	0.789
    
(This is **NOT** the answer, just a demonstration of the answering format.)

Cod sursa

import math

mu = 30
sig = 4
def cdf(x):
    return math.erfc((mu-x)/(sig*math.sqrt(2)))/2
print(cdf(40))
print(1 - cdf(21))
print(cdf(35)-cdf(30))