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1 The optimal scheduling of preventative maintenance tests of some but not all of n...

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1 The optimal scheduling of preventative maintenance tests of some but not all of n independently operating components was developed in Reliability Engineering and System Safety January 2006 The time in hours between failures of a component was approximated by an exponential distribution with mean 8 a Suppose 0 1 000 hours Find the probability that the time between component failures ranges between 1 200 and 1 500 hours b Again assume 0 1 000 hours Find the probability that the time between component failures is at least 1 200 hours c Given that the time between failures is at least 1 200 hours what is the probability that the time between failures is less than 1 500 hours

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