Exercise: Processes in the park

$2$ points possible $($graded$)$

As in an earlier exercise, busy people arrive at the park according to a Poisson process with rate $/$hour and stay in the park for exactly of an hour. Relaxed people arrive at the park according to a Poisson process with rate $/$hour and stay in the park for exactly half an hour. The arrivals of busy and relaxed people are independent processes. Assume that no other people arrive at the park.

Is the process of total arrivals at the park a Poisson process? If yes, enter the rate of that process in the answer box below. If it is not, enter $0.$

unanswered