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3.8 Let 1/4 3/4 1/5 4/5 P1= and P2 = 1/2 1/2 4/5 1/5 Consider a Markov chain on four states whose transition matrix is

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3.8 Let 1/4 3/4 1/5 4/5 P1= and P2 = 1/2 1/2 4/5 1/5 Consider a Markov chain on four states whose transition matrix is given by the block matrix P = P1 0 P 2 (a) Does the Markov chain have a unique stationary distribution? If so, find it. (b) Does limn- P" exist? If so, find it. (c) Does the Markov chain have a limiting distribution? If so, find it

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