Question: Linear programming problem. Please include all the steps. 1 (5 points). Consider the same Markov chain on the binary space from Lecture with transition matrix

Linear programming problem. Please include all the steps.

1 (5 points). Consider the same Markov chain on the binary space from Lecture with transition matrix P = [4/7 3/7] 1/2 1/2 . (a) Find the probability distribution, fig = P(Tij = 1}, for the first-passage-time random variables, Taj, that takes exactly one step to go from i to j. (b) Find the probability distribution, f.= P{Taj = 2}, for the first-passage-time random variables, Tu, that takes exactly two step to go from i to j

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