ustomers 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) = 0.4, P(B) = 0.1, and P(C) = 0.5. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean variance customers customers2 Explain your reasoning. O 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. O 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. O 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. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean variance customers customers2

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Author:Amos Gilat
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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) = 0.4, P(B) = 0.1, and P(C) = 0.5.
(a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card?
mean
variance
customers
customers 2
Explain your reasoning.
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.
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.
(b) Answer part (a) for the number among the 100 who don't pay with cash.
mean
variance
customers
customers2
Transcribed Image Text: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) = 0.4, P(B) = 0.1, and P(C) = 0.5. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean variance customers customers 2 Explain your reasoning. 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. 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. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean variance customers customers2
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