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1. A Markov chain X, X1, X2,... on states 0, 1, 2 has the transition probability matrix T and that = Po 0.4 P

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1. A Markov chain X, X1, X2,... on states 0, 1, 2 has the transition probability matrix T and that = Po 0.4 P =0.4 and p = 0.2. Find 2. Pr(X1, X31/X = 0) == = Pr(X =1,X21/X = 0) Pr(X1, X =1, X = 2) Pr(X=1,X = 2, X = 0) 0 i) ii) iii) iv) v) E(X3) 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

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