Question: Suppose E(X) = 5 and E[X(X - 1)] = 27.5. What is a. E(X2)? [Hint: First verify that E[X(X - 1)] = E(X2) - E(X)]?

Suppose E(X) = 5 and E[X(X - 1)] = 27.5. What is

a. E(X2)? [Hint: First verify that E[X(X - 1)] = E(X2) - E(X)]?

b. V(X)?

c. The general relationship among the quantities E(X), E[X(X - 1)], and V(X)?

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