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categoryإحصاء schoolبكالوريوس event_available2026-07-15

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10. A Markov process has the following state transition matrix: 0.4 0.5 0.1 0.3 0.4 0 A = 0 0 1 0 0.3 0 0 0 0 1 There are two absorbing states; what are they? ⚫ To find the probability of winding up in an absorbing state, define A to be the submatrix of A without the absorbing states, and y to be the column of A corresponding to the absorbing state. Then the probability of hitting the absorbing state is (I-A)-¹y. With this refresher, compute the probability of ending up in each of the absorbing states starting from the other states.

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