MediumProbabilitypr-074

Interarrival Exponential Probability

Problem

Probability that the first interarrival time T of a Poisson process with rate lam falls in (a, b):

P(a < T < b) = e^(-lam * a) - e^(-lam * b).

Return 0.0 when lam < 0, a < 0 or b < a.

Hint

Subtract the survival function values at the two endpoints.

case 1

in: [1,0,1]

expected: 0.6321205588285577

case 2

in: [2,1,2]

expected: 0.11701964434787852

case 3

in: [1,0,0]

expected: 0

case 4

in: [0.5,2,4]

expected: 0.23254415793482963

Starter codePython

import math


def interarrival_exponential_probability(lam, a, b):
    # Your code here
    pass

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