Consider a Markov chain (Xn)nzo with state space S = P a =(15 b a 1-b {0, 1} and transition matrix where 0 < a < 1,0 < b < 1, and define a new stochastic process (Zn)n>1 by Zn (Xn-1, Xn) for n 1. Argue that (Zn)n1 is a Markov chain and write down its transition matrix. Start by determining the state space of (Zn)n1.