The joint density function of two random variables (X) and (Y) is given by [p_{X, Y}(x, y)=

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The joint density function of two random variables $X$ and $Y$ is given by

\[p_{X, Y}(x, y)= \begin{cases}\frac{x y}{9}, & 0 \leq x \leq 2,0 \leq y \leq 3 \\ 0, & \text { elsewhere }\end{cases}\]

(a) Find the marginal density functions of $X$ and $Y$.

(b) Find the means and standard deviations of $X$ and $Y$.

(c) Find the correlation coefficient $ho_{X, Y}$.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 06:25 AM

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The joint density function of two random variables (X) and (Y) is given by [p_{X, Y}(x, y)=

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Mechanical Vibrations

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