Let f (x, y) = 24xy0 x 1, 0 y 1, 0
Question:
f (x, y) = 24xy0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ x + y ≤ 1
and let it equal 0 otherwise.
(a) Show that f (x, y) is a joint probability density function.
(b) Find E[X].
(c) Find E[Y].
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