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Q29Section A (Section A)29 of 60

Recurrent class in a three-state chain

Consider a discrete time Markov chain with state space S={1,2,3}S=\{1,2,3\} and the transition probability matrix (12141401545010).\begin{pmatrix}\frac{1}{2}&\frac{1}{4}&\frac{1}{4}\\0&\frac{1}{5}&\frac{4}{5}\\0&1&0\end{pmatrix}. Which one of the following statements is true?

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