(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2 independent r.v. X and Y, both of them are uniformly distributed on the interval [-1, 1]. a random variable Z is constructed by drawing samples from X and Y and forming X^2 + Y^2, however disregarding any draws that give Z > 1. Show that Z is uniformly distributed on [0,1].

2. Relevant equations

My understanding is Z is drawing from its samples from a square with area 4. Proof that the radius of the unit circle inside the square is uniformly distributed.

3. The attempt at a solution

Any idea, please?

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# Homework Help: Probability distribution

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