Chebyshev Two Sided Bound

Problem

Chebyshev's inequality bounds P(|X - mu| >= k sigma) by 1 / k^2; expressed with variance it is variance / distance^2 for a distance measured in the same units.

Given the variance and the distance k, return the bound variance / k^2.

Hint

Scale the distance before squaring.

Test cases

case 1

in: [1,2]

expected: 0.25

case 2

in: [4,1]

expected: 4

case 3

in: [2.5,5]

expected: 0.1

Starter codePython

def chebyshev_two_sided_bound(variance, k):
    # Your code here
    pass

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