Suppose that all the people in a country are ranked according to their incomes, starting at the bottom. Let x represent the fraction of the community making the lowest income (0x1);x-0.4 therefore, represents the lower 40% of all income producers. Let 1 x represent the proportion of the total income earned by the lowest x of all people. Thus, I 0.4 represents the fraction of total income earned by the lowest 40% of the population. The curve described by this function is known as a Lorenz curve. Suppose I(x) 0.92x2 + 0.08x. Complete parts a through e below.

Find and interpret (0.1) (Round to three decimal places as needed.)

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. first the players must decide who is playing black marbles and who is playing red marbles. then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. the point scheme for the game is detailed in the table below. point values for marble game black marble points red marble points both black: +2 points both red: +4 points different colors: –1 point different colors: –1 point both red: 0 points both black: 0 points