1. Consider the following transition matrix: 0 0.5 0 0.5 P = 0.6 0 04 0 0 0.7 0 0.3 (1) 0.8 0 0.2 0 (a) Is the Markov chain periodic? Give the period of each state. (b) Is (71, 72, 73, #4) = (33/96, 27/96, 15/96, 21/96) the stationary distribution of the Markov Chain? (c) Is P100 = 1? Is piol Pill = mi? Give an expression for m in terms of p100 11 and piol