Let \(X\), \(Y\), and \(Z\) be independent uniform \( (0,1)\).
- Find the joint density of \(XY\) and \(Z^2\).
- Show that \(P(XY < Z^2) = \frac59\).
[Meester ex. 5.12.25]
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Home » Basic probability » Independence » Three Random Variables
Let \(X\), \(Y\), and \(Z\) be independent uniform \( (0,1)\).
[Meester ex. 5.12.25]
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