Consider a post office with two clerks. Three people, A, B, and C, enter simultaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. What is the probability that A is still in the post office after the other two have left when

(a) the service time for each clerk is exactly (nonrandom) ten minutes?

(b) the service times are i with probability 1 3 ,i = 1, 2, 3?

(c) the service times are exponential with mean 1/μ?