Unformatted text preview: 1 to get your goods and
then go to a server 2 to pay for them. Suppose that the times for the two
activities are exponentially distributed with means 6 minutes and 3 minutes.
(a) Compute the average amount of time it take Bob to get his goods and pay
if when he comes in there is one customer named Al with server 1 and no one at
server 2. (b) Find the answer when times for the two activities are exponentially
distributed with rates and µ.
2.10. Consider a bank with two tellers. Three people, Alice, Betty, and Carol
enter the bank at almost the same time and in that order. Alice and Betty go
directly into service while Carol waits for the ﬁrst available teller. Suppose that
the service times for each customer are exponentially distributed with mean 4
minutes. (a) What is the expected total amount of time for Carol to complete
her businesses? (b) What is the expected total time until the last of the three
customers leaves? (c) What is the probability Carol is the last one to leave?
2.11. Consider the setup...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell.
 Spring '10
 DURRETT
 The Land

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