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2. A Markov chain X, X1, X2,... on states 0, 1, 2 has the transition probability matrix T. Find i) Pr(X3=1/X = 0) ii)

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2. A Markov chain X, X1, X2,... on states 0, 1, 2 has the transition probability matrix T. Find i) Pr(X3=1/X = 0) ii) Pr(X = 2/X = 1) 0 iii) = Pr(X3 2/X = 0) iv) 0 Pr(X 2) if X = 1 0.6 0.3 0.1 a) T=0.3 0.3 0.4 0.4 0.1 0.5 0.1 0.1 0.8 b) T=0.2 0.2 0.6 0.3 0.3 0.4 0.3 0.2 0.5 c) T = 0.5 0.1 0.4 0.5 0.2 0.3 0.1 0.2 0.7 d) T=0.2 0.2 0.6 0.6 0.1 0.3

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