Q53Section ST (Statistics (Q11–Q65))53 of 65

Classes of a three-state chain

Let $\{X_n\}_{n\ge1}$ be a time homogeneous discrete time Markov chain with state space $\{0,1,2\}$ and transition probability matrix $\begin{pmatrix} \frac12 & \frac12 & 0 \ \frac12 & \frac12 & 0 \ \frac13 & \frac13 & \frac13 \end{pmatrix}$ . Which of the following statements is/are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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