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 Midpoint x Percent of super shoppers 5 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 Step 1 23 c Compute the expected age of a super shopper 29 39 40 50 51 61 34 b Use a histogram to graph the probability distribution of part a 45 42 0 05 0 42 0 18 0 12 1 d Compute the standard deviation o for ages of super shoppers 18 In order to have a valid probability distribution 2 conditions must be met 56 12 62 and over 67 a Using the age midpoints x and the percentage of super shoppers do we have a valid probability distribution Explain 23 1 The probability distribution has a probability assigned to each distinct value of the random variable 2 The sum of all the assigned probabilities must be 1 We can see from the table that each distinct value of the random variable has been assigned a probability Use these probabilities to check if the sum of all the assigned probabilities is equal to 1 P x P 23 P 34 P 45 P 56 P 67