Let [f_{X, Y}(x, y)=c x^{2} y, 0 leq x, y leq 1] be the joint probability density

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Let

\[f_{X, Y}(x, y)=c x^{2} y, 0 \leq x, y \leq 1\]

be the joint probability density of the random vector $(X, Y)$.

(1) Determine the constant $c$ and the marginal densities.

(2) Are $X$ and $Y$ independent?

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:00 PM

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Let [f_{X, Y}(x, y)=c x^{2} y, 0 leq x, y leq 1] be the joint probability density

Question:

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Applied Probability And Stochastic Processes

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