Four blue balls and four green balls are distributed evenly into two urns [labelled as Urn A and Urn B} such that each urn contains four balls. At each step, we draw one ball from each urn and exchange them. Let Xn be the number of blue balls in Urn A at time 11. Then, (Xn is a Markov chain on state space {I}, 1, 2, 3, 1}. {a} Give the transition probabilities of the Markov chain. {b} Compute PIIXQ = 2|X = 2}. {c} Obtain the stationaryr distribution