The length of time that a machine operates without failure, Ask an Expert

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The length of time that a machine operates without failure is denoted by X and the length of time to repair a failure is denoted by Y.

X and Y are independent each with exponential ditribution, mean 1.

Find the pdf of U = X/[X + Y], the proportion of time that the machine is in operation during any one operation-repair cycle.

Use the pdf of U to find the probability that U is greater than 0.75.

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Category:- Statistics and Probability
Reference No.:- M9987998

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