For a multistate lottery, the following probabilitydistribution represents the cash prizes of the lotterywith their corresponding probabilities. Complete parts(a) through (c) below.x (cash prize, $)Grand prizeP(x)0.00000000817200,0000.0000002310,0000.0000017861000.00013510270.00500444840.0073068690.011557610.97599394683(a) If the grand prize is $13,000,000, 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?A. On average, you will win $0.28 per lottery ticket.B. On average, you will profit $0.28 per lottery ticket.C. You will win $0.28 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.A. No, because your chance of winning is determined by the properties of the lottery, not the payouts.B. Yes, because your expected profit increases as the grand prize increases.C. No, because the expected profit is always $0 no matter what the grand prize is.

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, $) Grand prize 200,000 P(x) 0.00000000817 0.00000023 10,000 0.000001786 0.000135102 0.005004448 100 7 0.007306869 3 0.01155761 0.97599394683 (a) If the grand prize is $13,000,000, 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 win $0.28 per lottery ticket. O B. On average, you will profit $0.28 per lottery ticket. O C. You will win $0.28 on every lottery ticket.