Poisson Process Waiting CDF

Problem

The waiting time to the first event in a Poisson process with rate lambda has CDF 1 - exp(-lambda t).

Given lambda and t >= 0, return the probability that an event has occurred by time t.

Hint

The waiting time is exponential with the same rate.

case 1

in: [1,1]

expected: 0.6321205588285577

case 2

in: [0.5,2]

expected: 0.6321205588285577

case 3

in: [3,0]

expected: 0

Starter codePython

def poisson_process_waiting_cdf(lam, t):
    # Your code here
    pass

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