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)?

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter4: Economic Evaluation In Health Care
Section: Chapter Questions
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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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