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Homework Help: Need help with Density of random variable.

  1. Oct 24, 2009 #1
    1. The problem statement, all variables and given/known data

    position of a random point with coordinates (x; y): equal probability inside a square whose side is 1 and the center of which coincides with the origin. Determine the probability density of Z = XY

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Oct 24, 2009 #2


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    Since the joint density of Z = XY is uniform on the square the probabilities agree with areas. Have you worked out the area corresponding to xy <= z in the square for various z?
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