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Unformatted text preview: ORIE 361/523 – Homework 6 Instructor: Mark E. Lewis due March 6, 2008 (drop box) 1. Two basketball players A and B will take turns attempting a three-point shot until either of them has made one, and then the game is over. A, being the better player, shoots a three- pointer with probability 0.4, while B has a success probability of 0.3. Suppose A will play first. When the game is over, what is the probability that A made the successful attempt? 2. Without benefit of dirty tricks, Harry’s restaurant business fluctuates in successive years be- tween three states: 0 (bankruptcy), 1 (verge of bankruptcy) and 2 (solvency). The transition matrix giving the probabilities of evolving from state to state is 1 . 5 0 . 25 0 . 25 . 5 0 . 25 0 . 25 (a) What is the expected number of years until Happy Harry’s restaurant goes bankrupt assuming that he starts from the state of solvency?...
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This note was uploaded on 03/01/2010 for the course ORIE 361 taught by Professor Lewis,m. during the Spring '07 term at Cornell.
- Spring '07