\fSuppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $19. If you roll a 3, 4 or 5, you win 51. Ithheoivise, you pay $2. a. Complete the PDF Table. List the K values, where K is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table b. Find the expected profit. SCI [Round to the nearest cent} c. Interpret the expected value. lD'I'bu will win this much if you play a game. 0 This is the most likely amount of money you will win. D If you play many games you will likely win on average very close to Sl per game. d. Based on the expected value, should you play this game? D Yes, since the expected value is positive, you would be very likely to come home with more money if you played many games. D Yes, because you can win $19.00 which is greater than the 52.00 that you can lose. 0 No, since the expected value is negative, you would be very likely to come home with less money if you played many games. 0 Yes, since the expected value is i], you would be very likely to come very close to breaking even if you played many games, so you might as well have fun at no cost. 0 No, this is a gambling game and it is always a bad idea to gamble