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Please show the work thank you Problem 6.2 (10 points) A Markov chain X0, X1,X2, . .. with state space 8 = {1, 2, 3,4}

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Problem 6.2 (10 points) A Markov chain X0, X1,X2, . .. with state space 8 = {1, 2, 3,4} has the following transition graph: (a) Provide the transition matrix for the Markov chain. (b) Find the stationary distribution. Is it the same as the limiting distribution of this Markov chain

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