For each of these Markov chains: 1/4 1/2 1/2 1/4 1/2 3/4 1/4 1/4 3/4 0 0 1 1/2 1/2 1/2 1/2 1/2 i. P ii. P = 1/2 1 diagram describing the behaviour of the chain; (b) specify the classes; (c) determine whether the classes are transient or recurrent; (d) determine whether the chain is ergodic; equation T = TP and determine the stationary distribu- uon A = (To, T1, ·), such that T; = 1 (if it exists); is there a unique stationary distribution? (f) does P" converge as n→ o?

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