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Competitive Stats
Q105Section C (Part C)105 of 120

Classification of states of a five-state chain

Consider a Markov chain {Xn:n≥1}\{X_n:n\ge1\} on state space {1,2,3,4,5}\{1,2,3,4,5\} with the transition probability matrix

P=(012120000100013013131000000001).P=\begin{pmatrix}0&\tfrac12&\tfrac12&0&0\\0&0&1&0&0\\0&\tfrac13&0&\tfrac13&\tfrac13\\1&0&0&0&0\\0&0&0&0&1\end{pmatrix}.

Then, which of the following statements are true?

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

Options

Select every correct option, then submit.