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...