A Markov chain with transition probability matrix P = (pij

Chapter , Problem 2

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A Markov chain with transition probability matrix P = (pij ) is called regular, if for some positive integer n, pn ij > 0 for all i and j . Let {Xn : n = 0, 1,...} be a Markov chain with state space {0, 1} and transition probability matrix P = ; 0 1 1 0< Is {Xn : n = 0, 1,...} regular? Why or why not?

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