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# suppose that a country has a lorentz curve of the for f(x)= X^a and a Gini index of . find a.

suppose that a country has a lorentz curve of the for f(x)= X^a and a Gini index of .286. find a.

The Gini index is calculated by formula1 G 2 x L x dx0 aUsing L x x ,1 G 2 x x a dx01 1 2 xdx 2 x a dx0 x 2 2 2 0 1 x a 1 2 a 1 0 1 0 1 0 1 2 0 2 2 a 1 1 1 1 1 2 a 1 a 1 a 1 Since G 0.286 ,...