Question: 4.4. Consider the Markov chain whose transition probability matrix is given by Starting in state X0 = 1, determine the probability that the process never

4.4. Consider the Markov chain whose transition probability matrix is given by

0 1 2 3 1 0 0 0 1 P= 0.1 0.2

Starting in state X0 = 1, determine the probability that the process never visits state 2. Justify your answer.

0 1 2 3 1 0 0 0 1 P= 0.1 0.2 0.5 0.2 2 0.1 0.2 0.6 0.1 3 0.2 0.2 0.3 0.3

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