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6. Consider a Markov chain with state space {1, 2, 3, 4} and transition matrix: 0 01 0 0 0.3 0 0.7 P = 1

6. Consider a Markov chain with state space {1, 2, 3, 4} and transition matrix: 0 01 0 0 0.3 0 0.7 P = 1 0 0 0 0 1 0 0 (a) What are the periods of the states 1, 2, 3 and 4? 2 ST3236/MA3238 (b) Calculate lim P(Xn = 2)X0 =2) and lim P(X, = 4/X0 = 2)

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