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please help 2. (30 points) Suppose we have a Markov chain Xo, X1, . .. with one step transition matrix NO O 0 0 1

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2. (30 points) Suppose we have a Markov chain Xo, X1, . .. with one step transition matrix NO O 0 0 1 P = 1 1/2 1/4 1/4 2 LO 1/6 5/6_ (a) Compute P{X5 = 1 | X3 = 1). (b) What is the long run proportion of time spent in state 1? (c) What is the expected number of steps between two visits to state 0

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