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 6% 43% 19% 11% 21% A 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 a valid probability distribution? Explain. O Yes. The events are indistinct and the probabilities sum to less than 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. O No. The events are indistinct and the probabilities sum to more than 1. O Yes. The events are distinct and the probabilities do not sum to 1. (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.) 40 40 30 30 % Supr Shpprs 20 % Supr Shpprs % Supr Shpprs 20 % Supr Shpprs 20 10 10 10 10 23 34 45 23 34 45 56 67 Age 56 67 23 34 45 56 7 23 34 45 56 67 Age Age Age (c) Compute the expected age u of a super shopper. (Round your answer to two decimal places.) (d) Compute the standard deviation a 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 6% 43% 19% 11% 21% A 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 a valid probability distribution? Explain. O Yes. The events are indistinct and the probabilities sum to less than 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. O No. The events are indistinct and the probabilities sum to more than 1. O Yes. The events are distinct and the probabilities do not sum to 1. (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.) 40 40 30 30 % Supr Shpprs 20 % Supr Shpprs % Supr Shpprs 20 % Supr Shpprs 20 10 10 10 10 23 34 45 23 34 45 56 67 Age 56 67 23 34 45 56 7 23 34 45 56 67 Age Age Age (c) Compute the expected age u of a super shopper. (Round your answer to two decimal places.) (d) Compute the standard deviation a for ages of super shoppers. (Round your answer to two decimal places.) yr
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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
6%
43%
19%
11%
21%
In 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 a valid probability distribution? Explain.
O Yes. The events are indistinct and the probabilities sum to less than 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.
O No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are distinct and the probabilities do not sum to 1.
(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.)
40
40
40
40
30
30-
30
30
% Supr Shpprs
20
% Supr Shpprs
20
% Supr Shpprs
20
% Supr Shpprs
20
10
10-
10
10
23
34
45
56
67
23
34
45
56 67
23
34
45
56
67
23
34
45
56
67
Age
Age
Age
Age
(c) Compute the expected age u of a super shopper. (Round your answer to two decimal places.)
|yr
(d) Compute the standard deviation o for ages of super shoppers. (Round your answer to two decimal places.)
O =
yr
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