Determine whether the stochastic matrix P is regular. 0. 0 0.2 0.5 0.9 0.1 0.8 regular O not regular Find the steady state matrix X of the Markov chain with matrix of transition probabilities P.

Determine whether the statement below is true or false. Justify the answer. If (x) is a Markov chain, then X₁+1 must depend only on the transition matrix and xn- Choose the correct answer below. O A. The statement is false because x, depends on X₁+1 and the transition matrix. B. The statement is true because it is part of the definition of a Markov chain. C. The statement is false because X₁ +1 can also depend on X-1 D. The statement is false because X₁ + 1 can also depend on any previous entry in the chain.

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A transition matrix for a Markov chain is given to the right. Determine the values of the letter entries. 0.2 0.5 a b 0.1 0.3 0.7 C 0.6 Enter the values to complete the transition matrix. 0.2 0.5 0.1 0.3 0.7 0.6 Enter your answer in each of the answer boxes. Up n ? Use FEB 24 МacE esc 80 F3 O00 F4 F2 F5 2$ 4 % 5 6. # 3