Let (X) have the probability density (f(x)=x^{2} / 9), (0 leq x leq 3). Is this a

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Let $X$ have the probability density $f(x)=x^{2} / 9$, $0 \leq x \leq 3$. Is this a legitimate density function? Find the following probabilities:

(a) $\operatorname{Pr}\{1 \leq X \leq 2\}$, (b) $\operatorname{Pr}\{X \leq 1\}$, (c) $\operatorname{Pr}\{X \geq 3\}$.

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Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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Question Posted: May 06, 2024 04:02 AM

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Let (X) have the probability density (f(x)=x^{2} / 9), (0 leq x leq 3). Is this a

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Mechanical Vibration Analysis, Uncertainties, And Control

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