Question: here is the question please answer. 2. Let {Xn}no be a Markov chain with State Space S = {1, 2, 3, 4, 5, 6} and

here is the question please answer.

2. Let {Xn}no be a Markov chain with State Space S = {1, 2, 3, 4, 5, 6} and transition matrix P = O ONHOIHO O O ONIAWINAIHOTIN RICOTTA O OPINOTIN (a) Classify the states of this chain. (b) Does there exist a long run distribution ? Explain. (c) Does there exist a stationary distribution ? Explain. (d) Determine the mean recurrence time for state 6. (e) Determine the mean first passage time from state 3 to state 4

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