For a multistate lottery, the following probability x (cash prize, $) P(x) distribution represents the cash prizes of the lottery Grand prize 0.00000000731 with their corresponding probabilities. Complete parts 200,000 0.00000011 (a) through (c) below. 10,000 0.000001717 100 0.000167696 7 0.005139833 4 0.006756495 0.01325342 0 0.97468072169 (a) If the grand prize is $15,000,000, find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? The expected cash prize is $ . (Round to the nearest cent as needed.) What is the correct interpretation of the expected cash prize? O A. On average, you will profit $0.27 per lottery ticket. O B. On average, you will win $0.27 per lottery ticket. O C. You will win $0.27 on every lottery ticket. The expected profit from one $1 ticket is $]. (b) To the nearest million, how much should the grand prize be so that you can expect a profit? $ (c) Does the size of the grand prize affect your chance of winning? Explain. O A. No, because your chance of winning is determined by the properties of the lottery, not the payouts. O B. No, because the expected profit is always $0 no matter what the grand prize is. O C. Yes, because your expected profit increases as the grand prize increases