The life (T) in hours of a vibration transducer is found to follow exponential distribution [p_{T}(t)= begin{cases}lambda

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The life \(T\) in hours of a vibration transducer is found to follow exponential distribution

\[p_{T}(t)= \begin{cases}\lambda e^{-\lambda t}, & t \geq 0 \\ 0, & t<0\end{cases}\]

where \(\lambda\) is a constant. Find (a) the probability distribution function of \(T\), (b) mean value of \(T\), and (c) standard deviation of \(T\).

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 06:27 AM

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The life (T) in hours of a vibration transducer is found to follow exponential distribution [p_{T}(t)= begin{cases}lambda

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Mechanical Vibrations

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