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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. 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?

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?

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) = 0.5, 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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