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D Item # 3. 20 pts Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively

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D Item # 3. 20 pts Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively by the functions 1 9 f (x ) = x + 10 10 and g(x) = 0.81x35 + 0.19x (a) What percent of the total income do the richest 20% of actuaries receive? Note: Round off to two decimal places if necessary. (b) Compute for the Gini index of f (a) and g(a). What can be implied from the Gini indices of f(x ) and g(a)? Item 3.pdf

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