Suppose the PDF of X and Y are as given below. Find the PDF of Z=X+Y. Show your work. fX(x) = 1/2 if 0<x<2, and zero otherwise. fY(y) = y/2 if 0<y<2, and zero otherwise.
Added by Sandra L.
Step 1
Given fX(x) = 1/2 if 0 < x < 2, and fY(y) = y/2 if 0 < y < 2, we have: f(x,y) = fX(x) * fY(y) = (1/2) * (y/2) = y/4 if 0 < x < 2 and 0 < y < 2, and zero otherwise. Show more…
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