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Question: Distance between random points

Question:Distance between random points

Markiyan Hirnyk 7759 Maple
probability
September 10 2013
0

Let X be the random variable uniformly distributed in the disk centered at the origin O(0,0) with radius 1 and let Y be the random variable uniformly distributed in the square having its vertices A(6,-1), B(9,-2), C(8,-5), and E(5,-4). What is the PDF of the distance between X and Y? Is it possible to find that with Maple? The similar question in three dimensions, replacing a square by a cube and a disk by a solid sphere.
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