1. We determine the Gini Coefficient of a population by calculating the integral: . This integral finds the area between the Lorenz curve and the line y = x, which represents perfect income equality and then divides it by the area under the line y = x. (a) Using Paulding county, Georgia (Use the integral set up to answer questions) for both 1990 and 2000. MEDIAN household income : In 1990 is 33%. In 2000 is 32%. (b) How did income equality change for your county from 1990 to 2000? Did it get better? Worse? What are some things that could have affected that? (c) If you were given data from the 2010 census, do you expect income equality to improve or worsen? What are the things you considered when making this prediction? (d) Is perfect income equality reasonable? What problems would it solve? Would it create new problems? If so, what problems might be created?