Pareto Tail Probability

Problem

Pareto tail probability with minimum xm and shape alpha:

P(X > x) = (xm / x)^alpha for x >= xm, and 1 otherwise.

Return 0.0 for nonpositive xm or alpha.

Hint

The tail decays like a power law; at x = xm the probability is 1.

case 1

in: [1,2,2]

expected: 0.25

case 2

in: [1,2,1]

expected: 1

case 3

in: [2,3,4]

expected: 0.125

case 4

in: [1,1,10]

expected: 0.1

Starter codePython

def pareto_tail_probability(xm, alpha, x):
    # Your code here
    pass

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