2. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.1.010.MI.S. MY NOTES ASK YOUR TEACHER 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 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. O No. The events are distinct and the probabilities 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.) 40 40 30 30 Supr Shoprs Supr Shpprs 20 20 10 67 23 34 45 56 67 23 34 45 56 Age O 40 30