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 Midpoint x Percent of super shoppers LAUSE SALT 18-28 23 10% 29-39 40-50 34 41% 45 51-61 56 23% 13% 62 and over 67 13% 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 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 to more than 1. O Yes. The events are distinct and the probabilities do not sum to 1. O Yes. The events are indistinct and the probabilities sum to less than 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.)

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Author:Amos Gilat
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(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.).
O
O
8
Supr Shppra 201
30
0
0
Supt Shppts 20
10-
23 34
23 34
45
Age
Age t
56
13
45 56
67
67
DO
Supe Shppes 20
10
0
40
30
Supe Shpprs 20
10-
23 34 45
23
34 45
(c) Compute the expected age of a super shopper. (Round your answer to two decimal places.)
H=
yr
aby
56
56
(d) Compute the standard deviation o for ages of super shoppers. (Round your answer to two decimal places.)
yr
67
67
0
f
Transcribed Image Text:(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.). O O 8 Supr Shppra 201 30 0 0 Supt Shppts 20 10- 23 34 23 34 45 Age Age t 56 13 45 56 67 67 DO Supe Shppes 20 10 0 40 30 Supe Shpprs 20 10- 23 34 45 23 34 45 (c) Compute the expected age of a super shopper. (Round your answer to two decimal places.) H= yr aby 56 56 (d) Compute the standard deviation o for ages of super shoppers. (Round your answer to two decimal places.) yr 67 67 0 f
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.
18-28 29-39 40-50
Age range, years
Midpoint x
Percent of super shoppers 10%
LUSE SALT
23
34
41%
45
51-61
56
23% 13%
62 and over
67
O Yes. The events are distinct and the probabilities sum to 1.
O No. The events are indistinct and the probabilities to more than 1.
O Yes. The events are distinct and the probabilities do not sum to 1.
O Yes. The events are indistinct and the probabilities sum to less than 1.
13%
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 No. The events are distinct and the probabilities 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.)
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. 18-28 29-39 40-50 Age range, years Midpoint x Percent of super shoppers 10% LUSE SALT 23 34 41% 45 51-61 56 23% 13% 62 and over 67 O Yes. The events are distinct and the probabilities sum to 1. O No. The events are indistinct and the probabilities to more than 1. O Yes. The events are distinct and the probabilities do not sum to 1. O Yes. The events are indistinct and the probabilities sum to less than 1. 13% 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 No. The events are distinct and the probabilities 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.)
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