Assume that the life of a roller bearing follows a Weibull distribution with parameters = 2 and

Question:

Assume that the life of a roller bearing follows a Weibull 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?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...