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AMS 311 (Fall, 2010) Joe Mitchell PROBABILITY THEORY Homework Set # 8 Due at the beginning of class on Thursday, December 2, 2010. Reminder: Show your reasoning! You do not need to evaluate arithmetic expressions or integrals, if they are fully speci±ed. For example, you may leave i 0 . 5 0 i 1 - x x x 2 e y dydx in this form. Read: Ross, Chapter 6, Sections 6.4, 6.5; Chapter 7, Sections 7.2, 7.4, 7.5 and Section 7.7; and handouts on expectation and rat-in-maze problems. SPECIFICS OF READING ASSIGNMENT: Examples to read carefully: Chapter 6: 4a, 4b, 5a, 5b; Chapter 7: 2a, 2c, 2e-h,, 2i-j, 5a, 5b, 5c, 5d, 5k, 5l; 7a, 7b, 7d, 7e, 7f, 7g, 7h. (1). (21 points) Consider the maze shown below. There are three cells (Cell 1, Cell 2, and Cell 3) and two deadly (quite permanent) outcomes (Death By Poison, and the dreaded Death By Guillotine). A rat is initially placed in cell 1. When the rat enters Cell i , he wanders around within the cell for X i minutes, where X i is uniformly distributed
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This note was uploaded on 07/15/2011 for the course AMS 311 taught by Professor Tucker,a during the Spring '08 term at SUNY Stony Brook.
- Spring '08