1. A computer is operated on days n. = U. 1, 2, . . . Let 1 if the computer does not work on day It Xn = 2 if the computer works on dajg.r n. The Markov chain {Xm n. = U, 1. 2, . . . } with set of states 5 = {1. 2} is specied by transition probabilities P PL] P12 [M13 0.97 _ P12.1 P212 _ ans [1.98 ' 1 {a} Is the Markov chain irreducible? Explain. (b) Is the Markov chain aperiodic? Explain. (c) Does the Markov chain have a unique stationary distribution 1r? Please note: You do not need to compute 1r. Instead, take advantage of your answers to (a) and (b) to answer the question. (d) Does the Markov chain hr ve a unique limiting distribution 7r? Please note: You do not need to compute 11'. Instead. take advantage of your answers to (a) and (b) to answer the