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(c) Compute the expected income μ of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) μ = thousands of dollars (d) Compute the standard deviation σ for the income of super shoppers (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) σ = thousands of dollars

(c) Compute the expected income μ of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) μ = thousands of dollars (d) Compute the standard deviation σ for the income of super shoppers (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) σ = thousands of dollars

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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I need assistance with parts C and D only. Thank you. 


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.

Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 21% 15% 22% 16% 18% 8%

(a)

Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
Yes. The events are indistinct and the probabilities sum to less than 1.Yes. The events are distinct and the probabilities do not sum to 1.     No. The events are indistinct and the probabilities sum to 1.Yes. The events are distinct and the probabilities sum to 1.No. The events are indistinct and the probabilities sum to more than 1.

(b)

Use a histogram to graph the probability distribution of part (a). (Select the correct graph.)
    

(c)

Compute the expected income μ of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.)
μ = thousands of dollars

(d)

Compute the standard deviation σ for the income of super shoppers (in thousands of dollars). (Enter a number. Round your answer to two decimal places.)
σ = thousands of dollars
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