(a) Using the age midpoints x and the percentage of super shoppers, do we have a valid probability distribution? Choose one of the statements: A. No. The events are distinct and the probabilities sum to 1. B. Yes. The events are distinct and the probabilities sum to 1. C. No. The events are indistinct and the probabilities sum to more than 1. D. Yes. The events are indistinct and the probabilities sum to less than 1. E. Yes. The events are distinct and the probabilities do not sum to 1.   (b) Choose a histogram that graphs the probability distribution of part (a).    (c) Compute the expected age ? of a super shopper. (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.
 
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? Choose one of the statements:
A. No. The events are distinct and the probabilities sum to 1.
B. Yes. The events are distinct and the probabilities sum to 1.
C. No. The events are indistinct and the probabilities sum to more than 1.
D. Yes. The events are indistinct and the probabilities sum to less than 1.
E. Yes. The events are distinct and the probabilities do not sum to 1.
 
(b) Choose a histogram that graphs the probability distribution of part (a). 
 
(c) Compute the expected age ? of a super shopper. (Round your answer to two decimal places.)
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
10%
41%
23%
11%
15%
Transcribed Image Text: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 10% 41% 23% 11% 15%
(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-
30
30
30
% Supr Shpprs 20
% Supr Shpprs 20
% Supr Shpprs 20
a
b
C
10
10
10
23
34
45
56
67
23
34
45
56
67
23
34
45
56
67
Age
Age
Age
40
30
% Supr Shpprs 20
10
d
23
34
45
56
67
Age
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.) 40 40 40- 30 30 30 % Supr Shpprs 20 % Supr Shpprs 20 % Supr Shpprs 20 a b C 10 10 10 23 34 45 56 67 23 34 45 56 67 23 34 45 56 67 Age Age Age 40 30 % Supr Shpprs 20 10 d 23 34 45 56 67 Age
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