摘要: A factory has a large number of machines that can be in one of two states, operating or broken. The probability that an operating machine is still operating at the end of the day is 0.97 and the probability that a broken machine is repaired by the end of the day is 0.88. a. A transition matrix T that can be used to represent this information,find the T b. If a machine is operating at the beginning of day 1, find the probability that it is broken down by the end of day 7 can be found. c. If there are 82 operating machines and 11 broken ones at the beginning of day 1, find the estimated number of broken machines at the end of day 3 .

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