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QUESTION

Consider a ticket center with two clerks, whose service time S1 and S2 are exponentially distributed with parameter 1 and 2, respectively. The...

Consider a ticket center with two clerks, whose service time S1 and S2 are exponentially distributed with parameter μ1 and μ2, respectively. The service times are independent. Customer C arrives at the ticket center and finds S1 is serving customer A and S2 is serving customer B. No other customers are waiting in line.

  1. (a) What is the probability that, of the three people, C is the last one to leave? 
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