Question: Need help with answering this questions below. Any help would be appreciated! QUESTION 3 Let X0, X1, X2, . . . be a Markov chain

Need help with answering this questions below. Any help would be appreciated!

QUESTION 3 Let X0, X1, X2, . . . be a Markov chain with the following transition diagram. In each part, nd the quantity if possible. If it is not possible, explain why not. 0.7 0.5 0.3 0.5 Illl... 0.7 0.5 0.3 0.5 (a) the long run expected proportion of times 72. for which X.\" = 1 (b) the long run expected proportion of time the chain stays in place (that is, times 71. such that X,, = Xn+1) QUESTION 4 Let S and T have joint density given by f( t) 3025-It for0

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