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) = 0.3, and P(C) = 0.2. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers? 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 probability that a customer used 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 number of customers who use a debit card. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers?

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Chapter1: Combinatorial Analysis
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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) = 0.5, P(B) = 0.3, and P(C) = 0.2.
(a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card?
mean
customers
variance
customers?
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 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 who use a debit card.
%3D
(b) Answer part (a) for the number among the 100 who don't pay with cash.
mean
customers
variance
customers?
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) = 0.5, P(B) = 0.3, and P(C) = 0.2. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers? 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 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 who use a debit card. %3D (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers?
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