The income distribution for the United States in 1999 is represented by the Lorenz curve , where  is given in the table. (A) Find the interpolating polynomial for this table. (B) Use the interpolating...

The income distribution for the United States in 1999 is represented by the Lorenz curve , where  is given in the table.

(A) Find the interpolating polynomial for this table.

(B) Use the interpolating polynomial to approximate (to four decimal places) the index of income concentration.