MATH 303 Midterm: MATH 303 2012 Winter Test 2

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9 Jan 2019
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Be sure this exam has 12 pages including the cover. This exam consists of 8 questions worth 10 marks each. 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 12: consider the markov chain with state space {0, 1, 2, 3, 4, 5} and transition matrix. Draw the transition diagram showing the six states with arrows indicating possible transitions and their probabilities. (2 marks) (b) Determine all the communicating classes of this markov chain.