# Question

Let

f (x, y) = 24xy 0 ≤ 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].

f (x, y) = 24xy 0 ≤ 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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