Question: (k) Is the process reversible? Why, or why not? (1) Find the long run proportion of time spent in state 4. (m) Find the expected

(k) Is the process reversible? Why, or why not? (1) Find the long run proportion of time spent in state 4. (m) Find the expected time to reach state 2, starting from state 1. (n) Find the expected time to reach state 3, starting from state 1. (o) If the initial distribution is (3/8, 3/8, 1/8, 1/8), does the limiting distribution exist? If so, find it. (p) Give a simple and accurate estimate for the matrix p10no (q) Starting from state 2, find the probability of hitting state 4 before state 1.Question 1 (25 marks) A DTMC (Xn)nez, with state space $ = {1, 2, 3, 4) has the following transition matrix a 2/3 0 1/2 0 0 P = 0 1/2 0 d 0 1/2 0

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