3. Let X and Y be random variables with joint density function fxy(x,y)= a(x + 2y), 0 5V). 2v
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![3. Let X and Y be random variables with joint density function.
fxy(x, y) = a(x+2y), 0<x<y< 1.
(a) Find the value of a.
(b) Suppose U = X + 2Y and V=Y-X. Show that
2u
fu,v(u, v) =
(c) Find P(U> 5V).
2v <u<3-v, 0<v<1.
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