MATH 303 Study Guide - Midterm Guide: Exponential Distribution, Poisson Point Process

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9 Jan 2019
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Be sure this exam has 9 pages including the cover. This exam consists of 8 questions worth 10 marks each. Numerical answers should be simpli ed as much as possible. score. 80: each candidate should be prepared to produce his library/ams card upon request, read and observe the following rules: No candidate shall be permitted to enter the examination room after the expiration of one half hour, or to leave during the rst half hour of the examination. Candidates are not permitted to ask questions of the invigilators, except in cases of supposed errors or ambiguities in examination questions. The plea of accident or forgetfulness shall not be received: smoking is not permitted during examinations. Page 2 of 9: consider the markov chain with state space {0, 1, 2} and transition matrix. Find the probability that x2 = 2. (4 marks) (b) Find the stationary distribution of the markov chain. (1 marks) (c)