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2. Suppose (X, Y ) is a point chosen on the unit square with probability governed by the joint pdf f(x,y)=x+y, 0x1, 0y1. What is

2. Suppose (X, Y ) is a point chosen on the unit square with probability governed by the joint pdf

f(x,y)=x+y, 0x1, 0y1.

What is the pdf of Z, which denotes the area of the rectangle formed by (0,0), (x,0), (0, y), and (x, y)?

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