Problem 6. (HW 6-4 Blitzstein) A post office has 2 clerks. Alice enters the post oce while 2 other customers, Bob and Claire, are being served by the 2 clerks. She is next in line. Assume that the time a clerk spends serving a customer has the exponential distribution with mean 0. (a) What is the probability that Alice is the last of the 3 customers to be done being served Hint: no integrals are needed. (b) What is the expected total time that Alice needs to spend at the post oce? H