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3. A Markov chain Xo, X1, ... on states 0, 1, 2 has the transition probability matrix 0.3 0.2 0.5 P 0.5 0.1 0.4 0.5

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3. A Markov chain Xo, X1, ... on states 0, 1, 2 has the transition probability matrix 0.3 0.2 0.5 P 0.5 0.1 0.4 0.5 0.2 0.3 and initial distribution P(Xo = 0) = 0.2, P(Xo = 1) = 0.7 and P(Xo = 2) = 0.1. Determine the probabilities P(Xo = 1, X1 = 1, X2 = 0) and P(X1 = 1, X2 = 1, X3 = 0)

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