Question: 4.6. Consider the Markov chain whose transition probability matrix is given by (a) Starting in state 1, determine the probability that the Markov chain ends

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

0 1 2 3 0 1 00 0 1 0.1 0.4 0.1

(a) Starting in state 1, determine the probability that the Markov chain ends in state 0.

(b) Determine the mean time to absorption.

0 1 2 3 0 1 00 0 1 0.1 0.4 0.1 0.4 P = 2 0.2 0.1 0.6 0.1 3 0 0 0 1

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