What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon.   (b) Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)   (c) Compute the expected age ? of a super shopper. (Round your answer to two decimal places.) ? =  yr   (d)Compute the standard deviation ? for ages of super shoppers. (Round your answer to two decimal places.)

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What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon.

 

(b)
Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)
 
(c)
Compute the expected age ? of a super shopper. (Round your answer to two decimal places.)
? =  yr
 
(d)Compute the standard deviation ? for ages of super shoppers. (Round your answer to two decimal places.)
? =  yr
What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a
coupon.
Age range, years
18-28 29-39 40-50 51-61 62 and over
Midpoint x
23
34
45
56
67
Percent of super shoppers 8%
43%
23%
11%
15%
USE SALT
For the 62-and-over group, use the midpoint 67 years.
(a) Using the age midpoints x and the percentage of super shoppers, do we have valid probability distribution? Explain.
O No. The events are indistinct and the probabilities sum to more than 1.
O Yes. The events are indistinct and the probabilities sum to less than 1.
O Yes. The events are distinct and the probabilities do not sum to 1.
O No. The events are distinct and the probabilities sum to 1.
O Yes. The events are distinct and the probabilities sum to 1.
Transcribed Image Text:What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint x 23 34 45 56 67 Percent of super shoppers 8% 43% 23% 11% 15% USE SALT For the 62-and-over group, use the midpoint 67 years. (a) Using the age midpoints x and the percentage of super shoppers, do we have valid probability distribution? Explain. O No. The events are indistinct and the probabilities sum to more than 1. O Yes. The events are indistinct and the probabilities sum to less than 1. O Yes. The events are distinct and the probabilities do not sum to 1. O No. The events are distinct and the probabilities sum to 1. O Yes. The events are distinct and the probabilities sum to 1.
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