If I have the following relations:(adsbygoogle = window.adsbygoogle || []).push({});

X = sqrt(1-V^2)*cos(U)

Y = sqrt(1-V^2)*sin(U)

Z = V

where (-pi < U < pi) and (-1 < V < 1) are independent random variables, both with uniform distributions.

How do I use the CDF method to find X_pdf(x)?

X_pdf(x) =

X_cdf'(x) =

( P( X < x ) )' =

( P( sqrt(1-V^2)*cos(U) < x ) )' = ?

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# Bivariate transformation using CDF method

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