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3. (20 pts) Consider the following state-transition diagram of a MC: 1/2 1/2 1/2 2/3 0 1 3 3/4 1/4 1/3 1/2 1/3 IS 2

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3. (20 pts) Consider the following state-transition diagram of a MC: 1/2 1/2 1/2 2/3 0 1 3 3/4 1/4 1/3 1/2 1/3 IS 2 4 (a) (10 pts) Compute the period of each state. (b) (10 pts) Find the expected number of time periods that the chain is in state 0, given that it starts in state 2

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