MATH 419 Study Guide - Midterm Guide: Stopping Time, Independent And Identically Distributed Random Variables, Random Variable

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9 Jan 2019
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Be sure this exam has 3 pages including the cover. This exam consists of 7 questions worth 10 marks each. Show all work and calculations and explain your reasoning thoroughly: 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 3: consider simple random walk on z3, taking steps ( 1, 0, 0), (0, 1, 0), (0, 0, 1) with probabilities 1. 6 . (a) let p00(2n) denote the probability that the walk starting at the origin returns to the origin in 2n steps.