Consider the following data, which represent the life of roller bearings (in hours).

(a) Perform a Weibull probability plot and determine the adequacy of the fit.

(b) Using the estimated shape parameter = 2.2 and the estimated scale parameter 9525, estimate the probability that a bearing lasts at least 7500 hours.

(c) If five bearings are in use and failures occur independently, what is the probability that all five bearings last at least 7500 hours?