a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain. A. Yes. The events are indistinct and the probabilities sum to less than 1. B. No. The events are indistinct and the probabilities sum to more than 1. C. No. The events are indistinct and the probabilities sum to 1. D. Yes. The events are distinct and the probabilities do not sum to 1. E. Yes. The events are distinct and the probabilities sum to 1. (b) Choose a histogram that graphs 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 income ? of a super shopper.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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.
(a) Using the income midpoints x and the percent of super shoppers, do we have a valid
A. Yes. The
B. No. The events are indistinct and the probabilities sum to more than 1.
C. No. The events are indistinct and the probabilities sum to 1.
D. Yes. The events are distinct and the probabilities do not sum to 1.
E. Yes. The events are distinct and the probabilities sum to 1.
(b) Choose a histogram that graphs 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 income ? of a super shopper. (Round your answer to two decimal places.)
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