5. (10%) Consider an aperiodic, irreducible Markov chain Xn (n = 0,1, ...) with the N + 1 states 0,1, ..., N having stationary probabilities ti (i = 0,1, ... ,N). Suppose that the distribution of X, is determined according to ai i.e. P(Xo = i) = Ti, i = 0,1, ... ,N, and let Qij = P(Xo = j|X1 = i), Q = (Qij)(N+1)x(N+1), 0 Si, j