Assume that the life of a roller bearing follows a Weibull distribution with parameters 3 = 2.3 and o = 10,000 hours. (a) Determine the probability that a bearing lasts at least 8,000 hours. (Round your answer to 4 decimal places.) (b) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8,000 hours? (Round your answer to 4 decimal places.) (c) If ß = 2, determine the mean time until failure of a bearing. (Round your answer to 1 decimal place.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Assume that the life of a roller bearing follows a Weibull distribution with parameters ß = 2.3 and 6 = 10,000 hours.
(a) Determine the probability that a bearing lasts at least 8,000 hours. (Round your answer to 4 decimal places.)
(b) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8,000 hours?
(Round your answer to 4 decimal places.)
(c) If ß = 2, determine the mean time until failure of a bearing. (Round your answer to 1 decimal place.)
(a) i
(b) i
(c) i
Transcribed Image Text:Assume that the life of a roller bearing follows a Weibull distribution with parameters ß = 2.3 and 6 = 10,000 hours. (a) Determine the probability that a bearing lasts at least 8,000 hours. (Round your answer to 4 decimal places.) (b) If 10 bearings are in use and failures occur independently, what is the probability that all 10 bearings last at least 8,000 hours? (Round your answer to 4 decimal places.) (c) If ß = 2, determine the mean time until failure of a bearing. (Round your answer to 1 decimal place.) (a) i (b) i (c) i
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