Suppose E(X) = 4 and E[X(X − 1)] = 22.5. (a) What is E(X²)? [Hint: First verify that E[X(X − 1)] = E[X² -x] = E(X²) - E(X).] (b) What is V(X)? (c) What is the general relationship among the quantities E(X), E[X(X − 1)], and V(X)? O v(x) = E[X(X - 1)] - E(X) - [E(X)]² O V(X) = E[X(X - 1)] + E(X) + [E(X)]² O V(X) = E[X(X - 1)] + E(X) - [E(X)]² O V(X) = E[X(X - 1)] - E(X) + + [E(X)]²

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