Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively by the functions f(z)= z+ 10 and 9(z)=0.542³5 +0.46 (a) What percent of the total income do the richest 20% of bankers receive? Note: Round off to two decimal places if necessary (b) Compute for the Gini index of f(z) and g(z). What can be implied from the Gini indices of f(z) and g(z)?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter17: Income, Poverty, And Health Care
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Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively by the functions
f(z) z+
10 10
and
g(z)=0.542³5 +0.46
(a) What percent of the total income do the richest 20% of bankers receive? Note: Round off to two decimal places if necessary.
(b) Compute for the Gini index of f(z) and g(x). What can be implied from the Gini indices of f(x) and g(x)?
Transcribed Image Text:Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively by the functions f(z) z+ 10 10 and g(z)=0.542³5 +0.46 (a) What percent of the total income do the richest 20% of bankers receive? Note: Round off to two decimal places if necessary. (b) Compute for the Gini index of f(z) and g(x). What can be implied from the Gini indices of f(x) and g(x)?
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