3. Consider a bank with two tellers (teller=server). Teller 1 has an exponential service time with mean 3 minutes and teller 2 has an exponential service time with mean 6 minutes. Anny, Ben, and Catty enter the bank at the same time. Anny goes to teller 1, and Ben goes to teller 2 while Catty waits for the first available teller. a) What is the probability that Catty will be served by teller 1? b) What is the expected time Catty spending in the bank? c) What is the probability that Catty will be the last one (of those three) to leave the bank?

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