MATH 303 Study Guide - Midterm Guide: Exponential Distribution, Poisson Point Process, Tesla Model X
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Marks: consider the markov chain with the transition matrix. Determine their periods, and whether they are transient or recurrent. If you start in state 1, what is the probability that after 4 steps you will be back in state. Page 3 of 8 pages: the following statements refer to a markov chain with transition matrix p . If state i is recurrent and p n ij > 0 for some n, then states i and j communicate. [4] (b) given that the process starts in a recurrent state i, the expected time to return to state i is nite. [4] (c) there is always at least one recurrent class. Assume that each sales person is equally likely to be the one red. Of the n people who were employed at the beginning of the year, let xn be the number who are still there after n months (so x0 = n ).
