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) = 0.3, P(B) = 0.3, and P(C) = 0.4. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean 30 Correct: Your answer is correct. customers variance 21 Correct: Your answer is correct. customers2 Explain your reasoning. Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the probability that a customer used a debit card. Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers at the gas station. Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers who use a debit card. Correct: Your answer is correct. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean 60 Correct: