finalA10

# finalA10 - ISyE 3232 Final Exam Spring 2010 Name Please be...

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ISyE 3232 Final Exam Spring 2010 Name Please be neat and show all your work so that I can give you partial credit. GOOD LUCK AND HAVE A GREAT SUMMER. Question 1 Question 2 Question 3 Question 4 Question 5 Total 1

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(20) 1. A taxicab driver moves between the airport A and two hotels B and C according to the following rules. If he is at the airport, he will be at one of the hotels next with equal probability. If at a hotel, then he returns to the airport with probability 3/4 and goes to the other hotel with probability 1/4. (10) a. Model this system as a discrete time Markov chain specifying the state space and the probability transition matrix. (10) b. Suppose that the driver is at the airport at time 0. What is the proba- bility that he is at hotel B at time 3? 2
(20) 2. Two people who prepare tax forms are working in a store at a local mall. Each has a chair next to his desk where customers can sit and be served.

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## This note was uploaded on 12/07/2011 for the course ISYE 3232 taught by Professor Billings during the Fall '07 term at Georgia Tech.

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finalA10 - ISyE 3232 Final Exam Spring 2010 Name Please be...

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