Determine the probability that a bearing lasts at least 6000 hours. Now, EXAMPLE 4.21 I Bearing Wear The time to failure (in hours) of a bearing in a mechanical shaft is satisfactorily modeled as a Weibull random variable with B = 1/2 and 8 = 5000 hours. Determine the mean time until failure. From the expression for the mean, 6000 P(X > 6000) = 1 – F(6000) = exp| 5000 = e-1.44 = 0.237 E(X) = 5000T[1+ (1/2)] = 500or[1.5] = 5000×0.5/T ni anoitonul vpienob vilidedong botoolaz lo adasn od nodw isi) so2 nso sw.nonomt ytiens Practical Interpretation: Consequently, only 23.7% of all ai nobudinalb lludisW orl = 4431.1 hours olludiialb dglolaH odt.oalA.gotudi bearings last at least 6000 hours.

Determine the probability that a bearing lasts at least 6000 hours. Now, EXAMPLE 4.21 I Bearing Wear The time to failure (in hours) of a bearing in a mechanical shaft is satisfactorily modeled as a Weibull random variable with B = 1/2 and 8 = 5000 hours. Determine the mean time until failure. From the expression for the mean, 6000 P(X > 6000) = 1 – F(6000) = exp| 5000 = e-1.44 = 0.237 E(X) = 5000T[1+ (1/2)] = 500or[1.5] = 5000×0.5/T ni anoitonul vpienob vilidedong botoolaz lo adasn od nodw isi) so2 nso sw.nonomt ytiens Practical Interpretation: Consequently, only 23.7% of all ai nobudinalb lludisW orl = 4431.1 hours olludiialb dglolaH odt.oalA.gotudi bearings last at least 6000 hours.

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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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