2. Consider a post office with two clerks. Three people, A, B, and C, enter simultaneously. A...

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2. Consider a post office with two clerks. Three people, A, B, and C, enter simultaneously. A and  go directly to the clerks, and C waits until either A or  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 / with probability j , / = 1,2, 3?

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

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