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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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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