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    One Function of Two Random Variables

    Homework Statement Given f(x,y) = x + y 0≤x≤1, 0≤y≤1 zero , otherwise Show that X+Y has density f(z) = z^2, 0 < z < 1, and z(2-z), 1 < z < 2. Homework Equations Also, how to find the density f(z) for X*Y? The Attempt at a Solution Even if f(z) is not given, some...