Geometric Memoryless Check

Problem

Verify the memoryless property of the geometric distribution:

P(X > n + m | X > n) = P(X > m)

where P(X > k) = (1 - p)^k. Return True when the two sides agree within 1e-9.

Hint

Compute the conditional probability with the survival function.

case 1

in: [0.3,4,2]

expected: true

case 2

in: [0.5,1,7]

expected: true

case 3

in: [0.9,0,3]

expected: true

case 4

in: [0.25,10,3]

expected: true

Starter codePython

def geometric_memoryless_check(p, n, m):
    # Your code here
    pass

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