Statistics Solutions

[Solution] Suppose that two random variables X and Y have a continuous joint distribution with joint probability density function f(x, y)=4 x y 0 ≤q

Question: Suppose that two random variables \(X\) and \(Y\) have a continuous joint distribution with joint probability density function

\[f(x, y)=4 x y \quad 0 \leq x \leq 1, \quad 0 \leq y \leq 1\]

Find the joint probability density function of \(U\) and \(V\), where

\[U=\frac{X}{V} \text { and } V=X Y\]

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