A Markov chain (Xn; n = 0, 1, 2, . . .) with state space S = {1, 2, 3, 4} has transition matrix 1/2 1/2 0 0 1/4 0 34 C P = 0 3/4 0 1/4 0 0 1/2 1/2 (a) Find the equilibrium distribution(s) for this Markov chain. [4 Marks] (b) Does this Markov chain has a limiting distribution? Justify your answer. [2 Marks]