The time to failure in hours of a bearing in a gear box is m

The time to failure, in hours, of a bearing in a gear box is modeled by Weibull distribution with parameters, eta = 6000 hours and beta = 0.5. If it is known that the bearing fails only after a wear-in period of 1000 hours, determine the following: Find the mean time to failure of the bearing The probability that life of a bearing is at least 7000 hours Design life of the bearing if the reliability of the bearing is required to be at least 0.90.

Solution

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