316_F07_HW4 - IOE 316 Fall 2007 – Homework 4 Due 1(10 points As you arrive to a single-server fast-food restaurant you notice that there are

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Unformatted text preview: IOE 316 Fall 2007 – Homework 4 Due November 20, 2007 1. (10 points) As you arrive to a single-server fast-food restaurant you notice that there are three customers waiting in line and one additional customer is currently being serviced. You join the end of the line. If the service times are all exponential with mean μ , what is the expected amount of time you will spend waiting to get your food? (We are not interested in the time it actually takes you to eat your burgers.) 2. (15 points) The time T required to repair a machine is an exponentially distributed random variable with mean 1 3 (hours). (a) (10 points) What is the probability that a repair time exceeds 1 2 hour? (b) (5 points) What is the probability that a repair takes at least 10 1 2 hours given that its duration exceeds 10 hours? 3. (10 points) The lifetime of a laptop is exponentially distributed with mean of 3 years. If you buy a three-year-old laptop, what is the probability that is will be working after an additional...
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This homework help was uploaded on 04/02/2008 for the course IOE 316 taught by Professor Dolinskaya during the Spring '08 term at University of Michigan.

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