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2. A bank has two tellers. When Taha enters the bank, both tellers are busy (serving Ahmet and Kami. Assume that the service time of the tellers is exponentially distributed with (a) (5 points) Calculate the probability that Taha is the last person who is done with (b) (7 points) Let X and Y be the service times for Ahmet and Mehmet, respectively. independent of each other and previous customers. the teller Calculate the cumulative distribution function (CDF) of the time Taha starts his service (Tahas service will start at min(X, Y)) (e) (8 points) What is the expected value and variance of the time Taha spends in the bank.
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