Question: 3.6.7 Consider the random walk Markov chain whose transition probability matrix is given by Starting in state 1, determine the mean time until absorption. Do

3.6.7 Consider the random walk Markov chain whose transition probability matrix is given by

01 1 2 3. 01 0 0 0 1 0.3 0 0.7

Starting in state 1, determine the mean time until absorption. Do this first using the basic first step approach of equation (3.24) and second using the particular results for a random walk given in equation (3.66).

01 1 2 3. 01 0 0 0 1 0.3 0 0.7 0 P= 2 0 0.1 0 0.9 3 000 1

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