final07 - ISyE 3232 Final Exam Fall 2007 Name Please be...

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Unformatted text preview: ISyE 3232 Final Exam Fall 2007 Name Please be neat and show all your work so that I can give you partial credit. HAPPY HOLIDAYS AND HAVE A WONDERFUL BREAK. Question 1 Question 2 Question 3 Question 4 Question 5 Total 1 1. (20) Three white and three black balls are distributed in two urns in such a way that each contains three balls. We say that the system is in state i , i = 0 , 1 , 2 , 3, if the first urn contains i white balls. At each step, we draw one ball from each urn and place the ball drawn the first urn into second and vice versa. What is the long-run probability of having all three white balls in the first urn? 2 2. (20) Customers arrive at a bank with respect to a Poisson process of rate 20/hr. Suppose two customers arrived in the first one hour. What is the prob- ability that a. (10) both arrived during the first twenty minutes? b. (10) at least one arrived during the first twenty minutes?...
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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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final07 - ISyE 3232 Final Exam Fall 2007 Name Please be...

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