The Lorenz Curve for the Income Distribution in a Certain

question 139

Multiple Choice

The Lorenz curve for the income distribution in a certain country in 2005 is given by . Find the Gini coefficient of income for 2005 for this country. Round your answer to four decimal places. ​

• A)​0.3576
• B)0.4648
• C)0.5614
• D)0.2103
• E)0.2668

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Definitions:

Obtaining

The act of gaining possession of something, usually after an effort.

Uniformly Distributed

A distribution where all outcomes are equally likely, and the variable's values are spread evenly over the range of possibilities.

Probability Density Function

A probability density function is a function that describes the probability of a random variable taking on certain values, used for continuous variables where the probability of any single value is zero.

Normal Approximation

A mathematical method used to approximate the binomial distribution with the normal distribution when the sample size is large and the probability of success is not too close to 0 or 1.