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Probability distribution

  1. May 11, 2008 #1
    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?
  2. jcsd
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