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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) = 0.6, P(B) = 0.2, 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 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 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 variance customers customers²

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) = 0.6, P(B) = 0.2, 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 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 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 variance customers customers²

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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) = 0.6, P(B) = 0.2, 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 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 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 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) = 0.6, P(B) = 0.2, 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 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 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 variance customers customers2
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