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group takes a survey to determine the education and income of its members. Matrix A summarizes the proportions of members in various categories of

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group takes a survey to determine the education and income of its members. Matrix A summarizes the proportions of members in various categories of years of ostsecondary education and income. Matrix B shows the total number of members in each income category. Less than Income level $50,000 to 100,000 $100,000 $50,000 or more None 0.75 0.20 0 1 to 4 0.25 0.40 0.20 = A More than 4 0 0.40 0.80 Total Less than $50,000 $50,000 to 100,000 4 20 = B $100,000 or more 10 (a) Calculate the product matrix AB. t (b) Interpret the entries of the matrix AB. Each entry gives the percentage of group members with the related amount of postsecondary education. Each entry gives the total percentage of group members in the relevant income bracket. Each entry gives the total income at the relevant education level. Each entry gives the number of group members with the related amount of postsecondary education.

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