You do not need to explain your answer. (a) (3 points) True / False For 3:, y E S, if a: > y and y is transient, then $ is transient. (b) (3 points) True / False If the Markov chain has more than one stationary distribution, then it is not irreducible. (c) (3 points) True / False If A C S is irreducible, then A must contain a recurrent element. ((1) (3 points) True / False If the Markov chain has a stationary distribution 7r, then 7W) = 210\""(35 y)7r(y) yES foranynENandallm,y63. (e) (3 points) True / False If the Markov chain is irreducible, recurrent with a unique stationary distribution 7r, then lim 10"($, y) = 7T(y) 71,)00 for all any 6 S. (f) (3 points) True / False If the Markov chain satises p(a:, y) = p(y, as) for all 3:, y E S, then there exists a stationary distribution 7r