The operational life of magnetic disks can be modeled by a Weibull distribution. Consider the following data that represent the life of packaged magnetic disks exposed to corrosive gases (in hours): 4, 86, 335, 746, 80, 1510, 195, 562, 137 1574, 7600, 4394, 4, 98, 1196, 15, 934, 11
(a) Using the estimated shape parameter = 0.53 and estimated scale parameter = 604, estimate the probability that a disk fails before 150 hours of use.
(b) If a warranty is planned to cover no more than 10% of the manufactured disks, at what value should the warranty level be set?