0 о 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 10% 45% 25% 9% 11% 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. No. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. No. The events are indistinct and the probabilities sum to more than 1. Yes. The events are indistinct and the probabilities sum to less than 1. Yes. The events are distinct and the probabilities sum to 1. (b) Use a histogram to graph the probability distribution of part (a). 50 % Super Shoppers % Super Shoppers 50 40 30 20 10 40 30 20 10 23 34 45 56 67 Age 23 34 45 56 67 Age % Super Shoppers 10 50 རྒྱ་ཆ་བ 40 30 % Super Shoppers 50 40 10 23 34 45 56 67 Age با 23 34 45 Age 56 67

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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? Explain. (b) Use a histogram to graph the probability distribution of part (a).

0
о
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
10%
45%
25%
9%
11%
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.
No. The events are distinct and the probabilities sum to 1.
Yes. The events are distinct and the probabilities do not sum to 1.
No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are indistinct and the probabilities sum to less than 1.
Yes. The events are distinct and the probabilities sum to 1.
(b) Use a histogram to graph the probability distribution of part (a).
50
% Super Shoppers
% Super Shoppers
50
40
30
20
10
40
30
20
10
23
34
45
56
67
Age
23
34
45
56
67
Age
% Super Shoppers
10
50
རྒྱ་ཆ་བ
40
30
% Super Shoppers
50
40
10
23
34
45
56
67
Age
با
23
34
45
Age
56
67
Transcribed Image Text:0 о 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 10% 45% 25% 9% 11% 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. No. The events are distinct and the probabilities sum to 1. Yes. The events are distinct and the probabilities do not sum to 1. No. The events are indistinct and the probabilities sum to more than 1. Yes. The events are indistinct and the probabilities sum to less than 1. Yes. The events are distinct and the probabilities sum to 1. (b) Use a histogram to graph the probability distribution of part (a). 50 % Super Shoppers % Super Shoppers 50 40 30 20 10 40 30 20 10 23 34 45 56 67 Age 23 34 45 56 67 Age % Super Shoppers 10 50 རྒྱ་ཆ་བ 40 30 % Super Shoppers 50 40 10 23 34 45 56 67 Age با 23 34 45 Age 56 67
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