Let Xo, X1, X2, ... be a Markov chain with the following transition diagram. In each part, find the quantity if possible. If it is not possible, explain why not. 0.7 0.5 0.3 0.5 2 3 4 0.7 0.5 0.3 0.5 (a) the long run expected proportion of times n for which X, = 1 (b) the long run expected proportion of time the chain stays in place (that is, times n such that Xn = Xn+1)