Let E X 1, E X 2 2, E X 3 5, and E X 4 15 Also E Y 2, E Y 2 6, E Y 3 22, and E Y 4 94 Suppose X and Y are independent (a) Find V 3X 2 Y (b) Find E X 4 Y 4 (c) Find Cov(X, X 2 ) (d) Find V X 2 Y 2

Question: Let E[X] = 1, E[X 2 ] = 2, E[X 3 ] = 5, and E[X 4 ] = 15. Also E[Y] = 2, E[Y

Let E[X] = 1, E[X²] = 2, E[X³] = 5, and E[X⁴] = 15. Also E[Y] = 2, E[Y²] = 6, E[Y³] = 22, and E[Y⁴] = 94. Suppose X and Y are independent.
(a) Find V[3X² − Y].
(b) Find E[X⁴Y⁴].
(c) Find Cov(X, X²).
(d) Find V[X²Y²].

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