# Mathematics

1.  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 5% 41% 26% 11% 17%

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).

(c) Compute the expected age μ of a super shopper. (Round your answer to two decimal places.)
μ =

(b) Use a histogram to graph the probability distribution in part (a).

(c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.)

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