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# A system with three independent components works correctly if at least onecomponent is ISBN: 9781119285427 322

## Solution for problem 1 Chapter 3.7

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

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Problem 1

A system with three independent components works correctly if at least onecomponent is functioning properly. Failure rates of the individual componentsare 1 = 0.0001, 2 = 0.0002, and 3 = 0.0004 (assume exponential lifetime dis-tributions).(a) Determine the probability that the system will work for 1000 h.(b) Determine the density function of the lifetime X of the system.

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##### ISBN: 9781119285427

Probability and Statistics with Reliability, Queuing, and Computer Science Applications was written by and is associated to the ISBN: 9781119285427. The answer to “A system with three independent components works correctly if at least onecomponent is functioning properly. Failure rates of the individual componentsare 1 = 0.0001, 2 = 0.0002, and 3 = 0.0004 (assume exponential lifetime dis-tributions).(a) Determine the probability that the system will work for 1000 h.(b) Determine the density function of the lifetime X of the system.” is broken down into a number of easy to follow steps, and 57 words. This textbook survival guide was created for the textbook: Probability and Statistics with Reliability, Queuing, and Computer Science Applications , edition: 2. This full solution covers the following key subjects: . This expansive textbook survival guide covers 81 chapters, and 351 solutions. The full step-by-step solution to problem: 1 from chapter: 3.7 was answered by , our top Statistics solution expert on 03/05/18, 07:23PM. Since the solution to 1 from 3.7 chapter was answered, more than 220 students have viewed the full step-by-step answer.

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