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Question 5 (20 pts). Let {X} be a sequence of iid discrete random variables, where Pr(X = m) = 1/8 for each m =
Question 5 (20 pts). Let {X} be a sequence of iid discrete random variables, where Pr(X = m) = 1/8 for each m = {1,...,8}. For each n = {1,..., 0}, let Rn be the remainder of Xi when divided by 9.1 In fact, {R}1 forms a DTMC. Write down the state space S, the initial distribution A, and the transition probability P. Does limno Pr(R = 0) exist? If yes, compute the limit, and if no, explain why.
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