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Problem 5 (a) Suppose X - Y - Z is a Markov chain. Please prove that Z - Y - X is also a Markov

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Problem 5 (a) Suppose X - Y - Z is a Markov chain. Please prove that Z - Y - X is also a Markov chain. (b) Suppose the four RVs W, X, Y, and Z constitute a Markov chain occurring in order. Is W, X, Z a Markov chain in order? If so, please prove it. If not, please explain the reason. Solution

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