Question: Suppose that a unit had a Weibull time to failure distribution
Suppose that a unit had a Weibull time-to-failure distribution. The value of the scale parameter is . Graph the hazard function for the following values of the shape parameter: . For the fixed values of the scale parameter, what impact does changing the shape parameter have on the hazard function?
Answer to relevant QuestionsSuppose that you have 15 observations on the number of hours to failure of a unit. The observations are 442, 381, 960, 571, 1861, 162, 334, 825, 2562, 324, 312, 368, 367, 968, and 15. Is the exponential distribution a ...Consider the following 20 observations on time to failure: 702, 507, 664, 491, 514, 323, 350, 681, 281, 599, 495, 254, 185, 608, 626, 622, 790, 248, 610, and 537. Is either exponential or the Weibull a reasonable choice of ...Consider the parallel system shown in the accompanying figure. The reliability of each component is provided in the figure. Assuming the components operate independently, calculate the system reliability. Suppose that units are placed on test and that five of them fail at 20, 25, 40, 75, and 100 hours, respectively. The test is terminated at 100 hours without replacing any of the failed units. Find the failure rate. The life in hours of a mechanic assembly has a Weibull distribution with and . Find the mean and variance of the time to failure. What is the reliability of the assembly at 4,000 hours? What is the reliability at 7,500 ...
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