Rayleigh PDF

Problem

Rayleigh probability density function with scale sigma:

f(x) = (x / sigma^2) * exp(-x^2 / (2 * sigma^2)) for x >= 0, else 0.

Return 0.0 for sigma <= 0.

Hint

The density peaks at x = sigma.

case 1

in: [1,0]

expected: 0

case 2

in: [1,1]

expected: 0.6065306597126334

case 3

in: [2,2]

expected: 0.3032653298563167

case 4

in: [1,-1]

expected: 0

Starter codePython

import math


def rayleigh_pdf(sigma, x):
    # Your code here
    pass

4 test cases · run your code against them in the editor