Weibull Conditional Reliability

Problem

Conditional Weibull reliability of a component with scale lam and shape k that has already survived time t, for an additional mission time s:

R = exp(-((t + s) / lam)^k + (t / lam)^k).

Return 0.0 for invalid inputs.

Hint

Divide the survival at t + s by the survival at t.

case 1

in: [1,1,2,3]

expected: 0.049787068367863944

case 2

in: [2,1,2,2]

expected: 0.36787944117144233

case 3

in: [1,2,1,1]

expected: 0.049787068367863944

case 4

in: [1,1,0,1]

expected: 0.36787944117144233

Starter codePython

import math


def weibull_conditional_reliability(lam, k, t, s):
    # Your code here
    pass

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