pornoyA complex electronic system is built with a certain number of backup components in itssubsystems. One subsystem has two identical components, each with a probability of .015 offailing in less than 1000 hours. The subsystem will operate if any one of the two components isoperating. Assume that the components operate independently. Find the probability that1) Component operates longer than 1000 hours.2) Both components fail in less than 1000 hours3) Subsystem operates longer than 1000 hours4) Does duplication of components improve reliability?I

We have to find 1) Component operates longer than 1000 hours.2) Both components fail in less than…

Answered: A complex electronic system is built…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In airline applications, failure of a component can result in catastrophe. As a result, many airline components utilize something called triple modular redundancy. This means that a critical component has two backup components that may be utilized should the initial component fail. Suppose a certain critical airline component has a probability of failure of 0.037 and the system that utilizes the component is part of a triple modular redundancy. (a) What is the probability that the system does not fail? (b) Engineers decide to the probability of failure is too high for this system. Use trial and error to determine the minimum number of components that should be included in the system to result in a system that has greater than a 0.99999999 probability of not failing. (a) The probability is. (Round to eight decimal places as needed.)
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