Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2 and δ = 10,000 hours. a. Determine the probability that a bearing lasts at least 8000 hours. b. Determine the mean time until failure of a bearing. c. If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8000 hours?

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