Question

As in an earlier exercise, busy people arrive at the park according to a Poisson process with rate /hour. Relaxed people arrive at the park according to an independent Poisson process with rate /hour. Assume that no other people arrive at the park.

During the last 10 minutes, exactly two people arrived at the park. What is the probability that they are both relaxed?

Answer 1

4/25 Or 0.16