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One Function of Two Random Variables
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[QUOTE="iSultan, post: 3656885, member: 377788"] [h2]Homework Statement [/h2] 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. [h2]Homework Equations[/h2] Also, how to find the density f(z) for X*Y? [h2]The Attempt at a Solution[/h2] Even if f(z) is not given, some questions asks to find f(z) like what I wrote in the relevant question. My problem is how to find the limits of the integration, and how I know that I would have 0 < z < 1, and 1 < z < 2. I'm struggling with this problem since last week, and I really need your help. [/QUOTE]
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One Function of Two Random Variables
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