Assume the life of a rotating item follows a Weibull distribution with the shape parameter (or slope) = 2 and the scale parameter = 10,000 hours.
a. Determine the probability that the rotating item lasts at least 8000 hours.
b. Determine the mean time until failure of the item.
c. If 10 rotating items are used in a larger component and failures occur independently, what is the probability that all 10 items last at least 8000 hours?
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