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1. A Markov chain Xo, X1, ... on states 0, 1, 2 has the transition probability matrix 0.7 0.1 0.2 P = 0.2 0.5 0.3

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1. A Markov chain Xo, X1, ... on states 0, 1, 2 has the transition probability matrix 0.7 0.1 0.2 P = 0.2 0.5 0.3 0.5 0 0.5 Determine the conditional probabilities P(X2 = 1, X3 = 1 X1 = 0) and P(X1 = 1, X2 = 1|Xo = 0)

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