2.1 A Markov chain has transition matrix 1 2 1(0.1 0.3 0.6 P = 20 3 0.3 0.2 0.5 3 0.4 0.6 with initial distribution a = (0.2,0.3,0.5). Find the following: (a) P(X,= 3|X6 = 2) (b) P(X9 = 2|X, = 2, X5 = 1,X7 = 3) %3D %3D (c) P(X, = 3IX, = 1)

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