8. [-/6.25 Points] DETAILS BBBASICSTATSACC 6.1.011.5. MY NOTES ASK YOUR TEACHER What is the income distribution of super 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. In the following table. income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars. 45-55 Midpoint x Percent of super shoppers 20% a) Using the income midpoi oints x and the percent of super shoppers, do we have a valid probability distribution? Explain. O No. The events a to 1. No. The ev ties sum to more than 1. Yes. T s sum to 1. Yes. ies sum to less than 1. Yes. The ev s do not sum to 1. b) Use a histogram to graph the probability distribution of part (a). (Select the correct graph.) 25 Supr Shpprs 10 20 30 40 50 60 Income O * Supr Shpprs 10 20 30 40 50 60 Income O 4% Supr Shpprs 10 20 30 40 50 60 Income O %% Supr Shpprs 10 20 30 40 50 60 Income (c) Compute the expected income it of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) thousands of dollars (d) Compute the standard deviation & for the mber. Round your answer to two decimal places.) thousands of dollars