mean time between failures the mean time between failures mtbf is a common metric used to measure the performance of manufacturing systems mtbf is the elapsed time between failures of a syst 71209
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The time between failures of a machine has an exponential distribution with parameter λ. Suppose that the prior distribution for λis exponential with mean 100 hours. Two machines are observed, and the average time between failures is x̅=1125 hours. (a) Find the Bayes estimate for λ. (b) What proportion of the machines do you think will fail before 1000 hours? ? | Numerade
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