For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. Complete parts (a) through (c) below. x (cash prize, $) P(x) Grand prizeGrand prize 0.000000006580.00000000658 200,000 0.000000270.00000027 10,000 0.0000018130.000001813 100 0.0001320480.000132048 7 0.0040840650.004084065 4 0.0061230750.006123075 3 0.013248340.01324834 0 0.976410382420.97641038242 (a) If the grand prize is $14 comma 000 comma 00014,000,000, 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 $0.270.27. (Round to the nearest cent as needed.) What is the correct interpretation of the expected cash prize? A. On average, you will profit $0.270.27 per lottery ticket. Your answer is not correct. B. On average, you will win $0.270.27 per lottery ticket. This is the correct answer. C. You will win $0.270.27 on every lottery ticket. The expected profit from one $1 ticket is $negative . 73−.73. (b) To the nearest million, how much should the grand prize be so that you can expect a profit? Assume nobody else wins so that you do not have to share the grand prize. $125,000,000125,000,000 (c) Does the size of the grand prize affect your chance of winning? Explain.