Šome customers of a retail chain have a store credit card that earns them bonus gifts when they make purchases at the chain. Currently, 20 customers are shopping in a store in this chain. Of these, half already have a store credit card. If employees offer store credit cards to 6 of these, what the probability that all of those chosen already have a card? Complete parts (a) through (e) below. (a) Explain why it would not be appropriate to use a binomial model for the number of customers who already have a store credit card, among the 6 customers who were chosen. O A. The number who already have a card in the 6 customers who were offered a store credit card meets all of the conditions for using a binomial model. O B. There are not two possible outcomes for each trial involved in randomly selecting the 6 customers who were offered a store credit card. C. The subset of the 6 customers who were offered a store credit card is too large and violates the 10% condition. O D. The number who already have a card in the 6 customers who were offered a store credit card is not a random variable. (b) A family of 6 is shopping in the store. Noting that „C, gives the number of ways of picking a subset of x items out of n, what is the probability that the 6 randomly selected shoppers are in this family? The probability that the 6 randomly selected shoppers are in this family is 0.0000258 . (Round to seven decimal places as needed.) (c) How many possible subsets of those already having a card might the employees select? There are possible subsets. (Simplify your answer.)
Šome customers of a retail chain have a store credit card that earns them bonus gifts when they make purchases at the chain. Currently, 20 customers are shopping in a store in this chain. Of these, half already have a store credit card. If employees offer store credit cards to 6 of these, what the probability that all of those chosen already have a card? Complete parts (a) through (e) below. (a) Explain why it would not be appropriate to use a binomial model for the number of customers who already have a store credit card, among the 6 customers who were chosen. O A. The number who already have a card in the 6 customers who were offered a store credit card meets all of the conditions for using a binomial model. O B. There are not two possible outcomes for each trial involved in randomly selecting the 6 customers who were offered a store credit card. C. The subset of the 6 customers who were offered a store credit card is too large and violates the 10% condition. O D. The number who already have a card in the 6 customers who were offered a store credit card is not a random variable. (b) A family of 6 is shopping in the store. Noting that „C, gives the number of ways of picking a subset of x items out of n, what is the probability that the 6 randomly selected shoppers are in this family? The probability that the 6 randomly selected shoppers are in this family is 0.0000258 . (Round to seven decimal places as needed.) (c) How many possible subsets of those already having a card might the employees select? There are possible subsets. (Simplify your answer.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Transcribed Image Text:Some customers of a retail chain have a store credit card that earns them bonus gifts when they make purchases at the chain. Currently, 20 customers are shopping in a store in this chain. Of these, half already have a store credit card. If
employees offer store credit cards to 6 of these, what is the probability that all of those chosen already have a card? Complete parts (a) through (e) below.
(a) Explain why it would not be appropriate to use a binomial model for the number of customers who already have a store credit card, among the 6 customers who were chosen.
O A. The number who already have a card in the 6 customers who were offered a store credit card meets all of the conditions for using a binomial model.
O B. There are not two possible outcomes for each trial involved in randomly selecting the 6 customers who were offered a store credit card.
Vc. The subset of the 6 customers who were offered a store credit card is too large and violates the 10% condition.
O D. The number who already have a card in the 6 customers who were offered a store credit card is not a random variable.
(b) A family of 6 is shopping in the store. Noting that „C, gives the number of ways of picking a subset of x items out of n, what is the probability that the 6 randomly selected shoppers are in this family?
The probability that the 6 randomly selected shoppers are in this family is 0.0000258.
(Round to seven decimal places as needed.)
(c) How many possible subsets of those already having a card might the employees select?
There are possible subsets.
(Simplify your answer.)
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