A from the information provided please derive a lorenz

Question

1. Suppose that the economy of Loserville has the following distribution of income:

first quintile               5% of aggregate income

second quintile           5% of aggregate income

third quintile              10% of aggregate income

fourth quintile            20% of aggregate income

fifth quintile               60% of aggregate income

a. From the information provided, please derive a Lorenz Curve for Loserville. Show graphically.

b. From the Lorenz Curve you have drawn, find the Gini Coefficient.