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Customers at a gas station pay with a credit card (A), debit card (8), 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 20 customers 16 customers variance 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 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 number of customers at the gas station. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean 70 customers variance 21 customers²

Customers at a gas station pay with a credit card (A), debit card (8), 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 20 customers 16 customers variance 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 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 number of customers at the gas station. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean 70 customers variance 21 customers²

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Customers at a gas station pay with a credit card (A), debit card (8), 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 20 customers variance 16 customers 2 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 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. ○ 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. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean 70 customers variance 21 customers²
Transcribed Image Text:Customers at a gas station pay with a credit card (A), debit card (8), 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 20 customers variance 16 customers 2 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 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. ○ 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. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean 70 customers variance 21 customers²
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