Recall that one of the applications of the area between curves is the Gini Index, which is defined as: 1 G.I. = 2 | (x – L(x)) dx where L(x) is called the Lorenz curve. A country has a Lorenz curve in the form L(x) = x", with n > 1. Find the value of n if the country's Gini Index is known to be 0.2.
Recall that one of the applications of the area between curves is the Gini Index, which is defined as: 1 G.I. = 2 | (x – L(x)) dx where L(x) is called the Lorenz curve. A country has a Lorenz curve in the form L(x) = x", with n > 1. Find the value of n if the country's Gini Index is known to be 0.2.
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Transcribed Image Text:Recall that one of the applications of the area between curves is the Gini Index, which is defined
as:
1
G.I. = 2
| (x – L(x)) dx
where L(x) is called the Lorenz curve.
A country has a Lorenz curve in the form L(x) = x", with n > 1. Find the value of n if the
country's Gini Index is known to be 0.2.
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