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(10) Problem #4 George Smith is a senior at Miami and would like to enjoy his last year at school. So for two hours a day George either goes to the Rec Center, to the Stadium Bar, or just watches TV. He never goes to the Stadium two days consecutively nor does he watch TV if he went to the Stadium the previous day. If he goes to the Rec Center any one day, he will equally likely go to the Rec Center, the Stadium Bar, or watch TV the following day. Einally if he watches TV any one day, he will go to the Stadium the following day. Assuming the Rec Center and the Stadium are open 7 days a week, consider this as a Markov chain where the states of the chain are Ai-George goes to the Rec Center on a given day A?-George goes to the Stadium on a given day A3 George watches TV on a given day. Construct the transition matrix of this process.

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