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 ? = 2.25 and 
.
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?
Let T be the lifetime in hours of a bearing.
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