In the article Parameter Estimation with Only One Complete Failure Observation (W. Pang, P. Leung, et al.,
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In the article “Parameter Estimation with Only One Complete Failure Observation” (W. Pang, P. Leung, et al., International Journal of Reliability, Quality, and Safety Engineering, 2001:109–122), the lifetime, in hours, of a certain type of bearing is modeled with the Weibull distribution with parameters α = 2.25 and β = 4.474 × 10−4.
a. Find the probability that a bearing lasts more than 1000 hours.
b. Find the probability that a bearing lasts less than 2000 hours.
c. Find the median lifetime of a bearing.
d. The hazard function is defined in Exercise 8. What is the hazard at t = 2000 hours?
DistributionThe 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...
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