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f(x,y) = θe-(x+θy) , θ>0 and x>0 find the PDF of XY thanks :)

Quote: Originally Posted by lauren2988 f(x,y) = θe-(x+θy) , θ>0 and x>0 find the PDF of XY thanks :) Let U = XY. Calculate the cumulative density function F(u). Then the pdf of U is . Are you given that the joint pdf has the exponential rule for y > 0 as well as x > 0? If not, then the next line won't be correct: . The calculus stuff is left for you to do.