3. Thailand's Gini index in 2019 was 34.9%. The equation of the Lorenz curve that was used to compute this measure of income distribution is f(x) = 1 – (1 – x)". (a) Find the value of m. [Round off your answer to four decimal places] (b) Graph f(x) and the curve of absolute equality where the Lorenz curve is valid. [Use a graphing software] (c) For what values of m will the Gini index give a measure of income distribution that is more equitable? Justify your answer.

Principles of Economics 2e
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Chapter15: Poverty And Economic Inequality
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3. Thailand's Gini index in 2019 was 34.9%. The equation of the Lorenz curve
that was used to compute this measure of income distribution is
S(r) = 1 – (1 – r)".
(a) Find the value of m. [Round off your answer to four decimal places]
(b) Graph f(x) and the curve of absolute equality where the Lorenz curve
is valid. [Use a graphing software]
(c) For what values of m will the Gini index give a measure of income distribution
that is more equitable? Justify your answer.
Transcribed Image Text:3. Thailand's Gini index in 2019 was 34.9%. The equation of the Lorenz curve that was used to compute this measure of income distribution is S(r) = 1 – (1 – r)". (a) Find the value of m. [Round off your answer to four decimal places] (b) Graph f(x) and the curve of absolute equality where the Lorenz curve is valid. [Use a graphing software] (c) For what values of m will the Gini index give a measure of income distribution that is more equitable? Justify your answer.
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