DETAILS MY NOTES What is the age distribution of procecos sensitive shoppers? A supermarket super shopper is defined as a shopper for witers at least 70%% of the tums purchased were on sale or purchased with a coupon. Age range, years 18-23 29-39 51-61 61 and over Percent of super shoppers 14 VSE SALT For the 52-and-over group, use the midpoint 67 years. (5) Using the age midpores * and the percentage of super shoppers, do we have a valid probability distribution? Explain No. The events are distinct and the probabilities form to 1. Yes, The events are distinct and the probabilities out to 1. Yes, The events are indistinct and the probabilities sum to less thais 1. Yes, The events are distinct and the probabilities do not sure to 1. 1is, The events are indistinct and the probeblities sure to more 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) (c) Compute the expected age y of a super shopper (Round your answer to two decimal places.) (d) Compute the standard deviation s for ages of super shoppers. (Round your answer to two decimal places.)