(10) For this problem let f(x) denote the fraction of total income earned by the lowest x fraction of the populace. 3 (a) Country A has an income distribution given by f(x) = x². Calculate its Gini Index. (b) Country B has an income distribution given by f(x) = (x¹+x). Calculate its Gini Index. (c) Which country has a greater degree of income inequality?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(10) For this problem let f(x) denote the fraction of total income earned by the lowest x
fraction of the populace.
3
(a) Country A has an income distribution given by f(x) = x². Calculate its Gini Index.
¼¹½
(x¹+x). Calculate its Gini
(b) Country B has an income distribution given by ƒ(x) =
Index.
(c) Which country has a greater degree of income inequality?
Transcribed Image Text:(10) For this problem let f(x) denote the fraction of total income earned by the lowest x fraction of the populace. 3 (a) Country A has an income distribution given by f(x) = x². Calculate its Gini Index. ¼¹½ (x¹+x). Calculate its Gini (b) Country B has an income distribution given by ƒ(x) = Index. (c) Which country has a greater degree of income inequality?
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