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Gaussian PDF

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Prob. and Stats

Difficulty: 2 | Problem written by junaid
Problem reported in interviews at

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The probability of a given value can easily be estimated with the Gaussian distribution with the mean and the standard deviation as distribution parameters.

The equation that is used to calculate the PDF of a Gaussian distribution is listed below:

\(f(x)= exp(-(\frac{(a-x)^{2}}{ (2 ^{} c^{2} )}))^{}( \frac{1} { (sqrt(2 ^{}\pi) ^{} c)})\)

Given a (input value), x (mean), and c (standard deviation), calculate the Gaussian distribution with the help of PDF.

 

Sample Input:
<class 'int'>
a: 1
<class 'int'>
x: 2
<class 'int'>
c: 3

Expected Output:
<class 'float'>
0.12579440923099774

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numpy has been already imported as np (import numpy as np)