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i View an Example X Question Help Find the first three powers, A, A2, and A3, of the transition matrix below. Find the probability that state 1 changes to state 2 after three repetitions of the experiment. A = 0.3 0.7 In general, for a transition matrix P, P^ gives the probabilities of a transition from one state to another in k repetitions of an experiment. To find the probability that state 1 changes to state 2 after three repetitions (k = 3), find A3 Identify A from the problem statement. A = 0 0.3 0.7 Multiply A by A to get A2. A2 - | 0.3 0.7 0.3 0.7 057 048 Press Continue to see more. 2 parts remaining Continue Closei View an Example X Question Help Find the first three powers, A, A2, and A3, of the transition matrix below. Find the probability that state 1 changes to state 2 after three repetitions of the experiment. A = 1 0 0.3 0.7 Multiply A by A to get A. Multiply A . A2 to get A 3 The probability that state p changes to state q after k repetitions is found in row p, column q of matrix PK Thus, to find the probability that state 1 changes to state 2 after three repetitions of the experiment, use the row 1, column 2 entry of matrix AS. Press Continue to see more. 1 part remaining Continue Close