Unformatted text preview: total number of eggs in a ﬁeld of the speciﬁed area. 5. (Chapter 5 Problem #20 of the textbook.) Consider a two-server system in which a cus-tomer is served ﬁrst by server 1, then by server 2, and then departs. The service times at server i are exponential random variables with rates μ i ,i = 1 , 2 . When you arrive, you ﬁnd server 1 free and two customers at server 2 - customer A in service and customer B waiting in line. (a) Find P A , the probability that A is still in service when you move over to server 2. (b) Find P B , the probability that B is still in the system when you move over to server 2. (c) Find E [ T ] , where T is the time that you spend in the system. Hint: Write T = S 1 + S 2 + W A + W B where S i is your service time at server i , W A is the amount of time you wait in queue while A is being served, and W B is the amount of time you wait in queue while B is being served. 1...
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- Fall '08
- Probability, Probability theory, wA, ﬁrst machine, person purchases, promotional toy