Let X0,X1, . .. be a Markov Chain with state space {1,2,3}, initial distribution pXO = (1/5,?, 2/5) and transition probability matrix 1/5 4/5 ? P: 2/5 1/2 ? 0 1/10 ? Fill in the entries for P and p X0, and answer the following: (a) Compute Pr(X1 = 1|X0 = 2). (b) The row vector p X0 describes the distribution of X0. What is the row vector describing the distribution of X1? (c) What is P(X1 = 3)? (d) What is the row vector describing the distribution of X 2? (e) What is P(X2 = 1)