what is the distribution

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% 45% 21% 11% 15% LA 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 distinct and the probabilities sum to 1. 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 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 40 40 30 30 30 30 % Supr Shpprs % Supr Shpprs % Supr Shpprs % Supr Shpprs 20 20 20 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 O Age Age Age Age (c) Compute the expected age u of a super shopper. (Round your answer to two decimal places.) 4 = |yr (d) Compute the standard deviation & for ages of super shoppers. (Round your answer to two decimal places.) 0 = yr