Let X. be a Markov chain with the states {0, 1, 2, 3, 4,5} and the transition matrix: 0.8 0.2 OO 0 0 0 1 0.1 0 0.9 0 0 0 0 0 0 0 0 0.3 0 0.7 0.5 0 0.5 0 (a) (10 pts) Determine which states are transient and which states are recurrent. Identify the class(es) and absorbing state(s) if any. (b) (10 pts) What is the expected number of visit of state 0, starting from state 5? (c) (10 pts) For any state k you have identified as transient in (a), Find Pr(Tk