A machine in use is replaced by a new machine either when it fails or when it

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A machine in use is replaced by a new machine either when it fails or when it reaches the age of T years. If the lifetimes of successive machines are independent with a common distribution F having density f , show that

(a) the long-run rate at which machines are replaced equals image text in transcribed

(b) the long-run rate at which machines in use fail equals image text in transcribed

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 05, 2024 09:01 AM

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A machine in use is replaced by a new machine either when it fails or when it

Question:

[ST xf(x)dx+T(1 F(T)) (L-F(T))]"

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Introduction To Probability Models

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