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A large company has determined that the function f (x) = 3x, 0

A large company has determined that the function f (x) = 3x, 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A large company has determined that the function f (x) = 3x, 0 <x<1 serves as a payroll density function. That is, the distribution of payroll, F(x), which is the proportion of total payroll earned by the lowest paid fraction of x of employees, 0 <x <1, relates to f (x) in the same way that probability distributions and probability densities relate. 1 Gini's index, G, defined as G = 2 | |x-F(x)| dx, is a measure of how evenly payroll is distributed among all employees. Calculate G for this large company.
Transcribed Image Text:A large company has determined that the function f (x) = 3x, 0 <x<1 serves as a payroll density function. That is, the distribution of payroll, F(x), which is the proportion of total payroll earned by the lowest paid fraction of x of employees, 0 <x <1, relates to f (x) in the same way that probability distributions and probability densities relate. 1 Gini's index, G, defined as G = 2 | |x-F(x)| dx, is a measure of how evenly payroll is distributed among all employees. Calculate G for this large company.
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