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How to solve: 4.2.8 An airline reservation system has a single computer, which breaks down on any given day with probability p. It takes 2

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4.2.8 An airline reservation system has a single computer, which breaks down on any given day with probability p. It takes 2 days to restore a failed computer to normal service. Form a Markov chain by taking as states the pairs (x, y), where x is the number of machines in operating condition at the end of a day and y is 1 if a day's labor has been expended on a machine, and 0 otherwise. The transition probability matrix is To state _> (1'0) (0'0) (0' 1) From state l (1,0) 61 P 0 P = (0,0) 0 0 l (0, l) l 0 0 Compute the system availability \"(1,0) for p = 0.01 , 0.02, 0.05, and 0.10.|

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