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Consider a homogeneous Markov chain X. t= 0,1,2,..., with four states S= (0,1,2,3), and transition probability matrix 1720 12001 1200 a. Draw the state

Consider a homogeneous Markov chain X. t= 0,1,2,..., with four states S= (0,1,2,3), and transition probability matrix 1720 12001 1200 a. Draw the state transition diagram. b. Which states are transient and which are recurrent? Justify your answer. c. Is the chain irreducible? Justify your answer. d. Is it periodic? If so, what is the period? Justify your answer.

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