Suppose that the length of life (in hours) of an item in the machine shop has...

Suppose that the length of life (in hours) of an item in the machine shop has a Weibull distribution with α = 0.01 and β = 2.

(a) What is the probability that it lasts longer than 10 hours of usage?

(b) Find the median and the first quartile of the life of this item.

(c) How long is such an item expected to last? Use the fact that Γ(1.5) = 0.8862.

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