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Problem 1.6. Consider following transition matrir of a Markov chain with state space S = {1,2, 3, 4}. (0.5 0.5 0 0 0.5 0

Problem 1.6. Consider following transition matrir of a Markov chain with state space S = {1,2, 3, 4}. (0.5 0.5 0 0 0.5 0 0 0.5 0.5 0.5, 0.5 %3D 0.5 1. Find stationary distribution. 2. Find limiting distribution 3. Assume that Xo = 1. Let T = min{n 2 1|X, = 1}. Find E(T]

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