Jane is a tax consultant whose clients visit her office following a Poisson process with the rate of three clients per hour. She went out for lunch for one hour yesterday. When she left her office at 12:00 PM, there were no clients. When she came back at 1:00 PM, there were two clients waiting for her. What is the probability that both clients had waited more than half an hour? Solution 0.5*0.5= 0.25.

1. Jane is a tax consultant whose clients visit her office following a Poisson process with the rate of
three clients per hour. She went out for lunch for one hour yesterday. When she left her office at
12:00 PM, there were no clients. When she came back at 1:00 PM, there were two clients waiting
for her. What is the probability that both clients had waited more than half an hour?
Solution
0.5*0.5= 0.25