28 Consider n components with independent lifetimes, which are such that component i functions for an exponential time with rate i Suppose that all components are initially in use and remain so until they fail (a) Find the probability that component 1 is the second component to fail (b) Find the ex...

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28. Consider n components with independent lifetimes, which are such that component i functions for an exponential

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28. Consider n components with independent lifetimes, which are such that component i functions for an exponential time with rate λi . Suppose that all components are initially in use and remain so until they fail.

(a) Find the probability that component 1 is the second component to fail.

(b) Find the expected time of the second failure.

Hint: Do not make use of part (a).

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Introduction To Probability Models

ISBN: 9780123756862

10th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 16, 2024 04:00 AM

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28. Consider n components with independent lifetimes, which are such that component i functions for an exponential

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Introduction To Probability Models

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