The matrix below is a transition matrix. The columns are labeled s1, s2, s3 to show the states. Similarly, the rows are also labeled s1, 82, 83, respectively. s1 82 83 0.25 0.5 0.25 0.375 0.5 0.125 0.25 0.375 0.375 a) Find the probability of remaining in state 1 in one observation. b) Find the probability of remaining in state 2 in two observations. c) Find the fixed probability vector (t). Note that you must enter results to at least 6 significant digits. Also the final result will not add to one since some rounding is involved. Submit answer 1.

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