SOLVED: Find the Gini index for the Lorenz curve L(x) = x^3 (The Lorenz curve for U.S. income in 1935). Hint: The Gini coefficient is a measure of inequality of a distribution. It is defined as a ratio with values between 0 and 1: the numerator is the area between the Lorenz curve of the distribution and the uniform distribution line; the denominator is the area under the uniform distribution line. It was developed by the Italian statistician Corrado Gini and published in his 1912 paper "Variabi