1. Markov chain (1 Opts) Consider a 2state Markov chain and a random variable yt 2 fast Where g = (1, 3)'. Suppose it is known that E(yt+1|a:t) = (1.5, 2)'. (a) (510135) Find a transition matrix consistent with conditional expectations. (b) (510135) Find the stationary distribution for the Markov chain :rt. (Recall that the stationary distribution has the property that 77' = 77' P)