8. Let X and Y be independent continuous random variables with res hazard rate functions Ax(1) and...

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8. Let X and Y be independent continuous random variables with res hazard rate functions Ax(1) and Ay(7), and set W=min(X, Y).

(a) Determine the distribution function of W in terms of those of X

(b) Show that Aw(1), the hazard rate function of W, is given by Aw(1) - Ax(1) + Ay (1)

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A First Course In Probability

ISBN: 9780137463145

5th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 07, 2024 05:02 AM

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8. Let X and Y be independent continuous random variables with res hazard rate functions Ax(1) and...

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A First Course In Probability

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