Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices, with P(A) = 0.5, P(B) = 0.2, and P(C) = 0.3. Among the next 10 customers, let X = the number who pay with a debit card. %3D %3D a) What distribution does X have? b) Compute P(X 1) and P(X > 8). %3D c) Find the expected value and variance of X. d) Compute E(X²). e) Let Y = the number among the 10 who don't pay with cash. Find the expected value and variance of Y.