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1. Consider a continuous time Markov chain with three states 1,2,3. Suppose that v1 = 2, v2 = 3, v3 = 5 and that the

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1. Consider a continuous time Markov chain with three states 1,2,3. Suppose that v1 = 2, v2 = 3, v3 = 5 and that the embedded Markov chain has transition matrix 0 1/4 3/4 P = 2/5 0 3/5 1/3 2/3 0 (a) Determine the long run distribution of this chain. (b) Determine the mean first passage time from state 2 to state 3

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