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# Consider a series system consisting of n independent components. Assuming thatthe

ISBN: 9781119285427 322

## Solution for problem 3 Chapter 3.7

Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd Edition

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Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd Edition

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Problem 3

Consider a series system consisting of n independent components. Assuming thatthe lifetime of the ith component is Weibull distributed with parameter i and, show that the system lifetime also has a Weibull distribution.As a concrete example, consider a liquid cooling cartridge system that is usedin enterprise-class servers made by Sun Microsystems [KOSL 2001]. The seriessystem consists of a blower, a water pump and a compressor. The following tablegives the Weibull data for the three components.Component L10 (h) Shape parameter ()Blower 70,000 3.0Water pump 100,000 3.0Compressor 100,000 3.0L10 is the rating life of the component, which is the time at which 10 % ofthe components are expected to have failed or R(L10) = 0.9. Derive the systemreliability expression.

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Elementary Statistics Notes Amanda Selly 8/26/2016 We obtained this set of data by dropping a pen seven times to see where it lands {3,4,3,2,4,3,4,2,4,4,5,2,4,4,2,2,5,2,6,3,2,4,4,3,2,1,3} So obviously this set of numbers doesn't really mean...

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##### ISBN: 9781119285427

Since the solution to 3 from 3.7 chapter was answered, more than 216 students have viewed the full step-by-step answer. The answer to “Consider a series system consisting of n independent components. Assuming thatthe lifetime of the ith component is Weibull distributed with parameter i and, show that the system lifetime also has a Weibull distribution.As a concrete example, consider a liquid cooling cartridge system that is usedin enterprise-class servers made by Sun Microsystems [KOSL 2001]. The seriessystem consists of a blower, a water pump and a compressor. The following tablegives the Weibull data for the three components.Component L10 (h) Shape parameter ()Blower 70,000 3.0Water pump 100,000 3.0Compressor 100,000 3.0L10 is the rating life of the component, which is the time at which 10 % ofthe components are expected to have failed or R(L10) = 0.9. Derive the systemreliability expression.” is broken down into a number of easy to follow steps, and 117 words. The full step-by-step solution to problem: 3 from chapter: 3.7 was answered by , our top Statistics solution expert on 03/05/18, 07:23PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 81 chapters, and 351 solutions. This textbook survival guide was created for the textbook: Probability and Statistics with Reliability, Queuing, and Computer Science Applications , edition: 2. Probability and Statistics with Reliability, Queuing, and Computer Science Applications was written by and is associated to the ISBN: 9781119285427.

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