2. One of the inequality measures we discussed in class is the 'Coefficient of Variation,' which is defined as the standard deviation divided by the mean income (That is, C = $). Discuss the following claims related to that measure: (a) (5 points) "You as an outsider giving one dollar to the poorest person will change C in the same way than you giving one dollar to the second poorest person." (b) (5 points) "You as an outsider giving everybody in this society an extra dollar will not change C."