23 Show that if each (independent) component of a series system has an IFR distribution, then the system lifetime is itself IFR by (a) showing that M O ,(0 i where () is the failure rate function of the system and A,(0 the failure rate function of the lifetime of component (b) using the definition ...

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23. Show that if each (independent) component of a series system has an IFR distribution, then the...

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23. Show that if each (independent) component of a series system has an IFR distribution, then the system lifetime is itself IFR by

(a) showing that M O = Ó ë,(0 i

where ëÃ(ß) is the failure rate function of the system; and A,(0 the failure rate function of the lifetime of component /.

(b) using the definition of IFR given in Exercise 22.

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Introduction To Probability Models

ISBN: 9780125984553

5th Edition

Authors: Sheldon M. Ross

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Question Posted: Aug 31, 2024 12:00 PM

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23. Show that if each (independent) component of a series system has an IFR distribution, then the...

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Introduction To Probability Models

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