Question: Consider a two-server system in which a customer is served first by server 1, then by server 2, and then departs. The service times at

Consider a two-server system in which a customer is served first by server 1, then by server 2, and then departs. The service times at server 1 are exponential random variables with rates 10/hr and the service times at server 2 are exponentially distributed with rate 5/hr. When you arrive, you find server 1 free and two customers at server 2 customer A in service and customer B waiting in line. Compute

(a) (5) the probability that A is still in service when you moveover to server 2. (b) (10) the probability that B is still in service when you moveover to server 2. (c) (10) the probability that neither A nor B in service when you mover over to server 2.

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