Let f(x,y) = 24xy, 0 ≤ x ≤ 1, 0 ≤ y ≤1, 0 ≤x+y ≤1 and let it equal 0 otherwise.
(a) (2 points) Show that f(x,y) is a joint probability density function.
(b) (4 points) Find E[X].
(c) (4 points) Find E[Y]
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