Unformatted text preview: is served Frst by server 1, then by server 2, and then departs. The service times are independent and exponential random variables with rates μ i . When you arrive, you Fnd server 1 free and two customers at server 2, one (say customer A) being serviced the other (say customer B) waiting in line. 1. ±ind the probability that A is still in service when you join the line at server 2. 2. ±ind the probability that B is still in service when you join the line at server 2. 3. ±ind E [ T ] where T is the time you spend in the system. Problem 5: (Problem 18, p. 348) Let X 1 and X 2 be independent random variables which are exponentially distributed with rates λ i , i = 1 , 2, respectively. ±ind the expectation and the variance of their minimum and their maximum....
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 Spring '08
 DENKER
 Stochastic Modeling, Variance, Probability theory

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