Question: 3. Do this problem without technology. Let { X} be a Markov chain with states {1, 2, 3, 4} transition matrix 010 0 0 010

3. Do this problem without technology. Let { X} be a Markov chain with states {1, 2, 3, 4} transition matrix 010 0 0 010 P = 0 0 01 10 0 0 12) a. Is the chain irreducible? If not, list the communication classes. [2] b. Give the period of each state. 2 c. Is the chain ergodic? Why, or why not? [2] d. Find a stationary distribution . = #1 82 3 14 2 e. Is a a limiting distribution? Why, or why not

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