Consider a discrete-time Markov chain with states 1, 2, and 3 and the following one-step and two-step TPMs. We know that a1 = 0.4, a2 = 0.2, and a3 = 0.4 (time starts at 0). 0.2 0.3 0.51 0.31 0.38 0.317 P = 0.4 0.4 0.2 P(2) = 0.3 0.36 0.34 (0.3 0.4 0.3 L0.31 0.37 0.32. a) FindP(X6 = 1, X4 = 3, X3 = 3, X1 = 1/Xo = 2). b) Find P(X5 = 2, X4 = 3, X3 = 2, X2 = 2)