Consider the Markov chain shown in Figure 11.13. Let t k be the expected number of steps

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Consider the Markov chain shown in Figure 11.13. Let tk be the expected number of steps until the chain hits state 1 for the first time, given that X0 = k. Clearly, t1 = 0. Also, let r1 be the mean return time to state 1.

1. Find t2 and t3.

2. Find r1.1 22/12 2 3 1o11 w/N Figure 11.13- A state transition diagram.

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