Let E[X] = 1, E[X 2 ] = 2, E[X 3 ] = 5, and E[X 4
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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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