Reciprocal Uniform Density

Problem

U is Uniform(0, 1) and Y = 1 / U. Return the probability density of Y at y found by the one-dimensional change of variables formula:

f_Y(y) = 1 / y^2 for y >= 1, else 0.0.

Hint

Invert y = 1/u to get u = 1/y and multiply by |du/dy|.

case 1

in: [1]

expected: 1

case 2

in: [2]

expected: 0.25

case 3

in: [0.5]

expected: 0

case 4

in: [10]

expected: 0.01

Starter codePython

def reciprocal_uniform_pdf(y):
    # Your code here
    pass

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