. Question 5 T C 3' Suppose that you are offered the following "deal." You roll a six sided die. If you roll a a, you win $13. If you roll a 4 or 5, you win 53. Otherwise, you pay $45. 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. 5:] [Round to the nearest cent] c. Interpret the expected value. 0 This is the most likely amount of money you will win. Q You will win this much if you play a game. Q If you play many games you will likely win on average very close to 56.1? per game. d. Based on the expected value, should you play this game? O Yes, because you can win $13.00 which is greater than the $6.00 that you can lose. O No, this is a gambling game and it is always a bad idea to gamble. O No, since the expected value is negative, you would be very likely to come home with less money if you played many games. O 'r'es, since the expected value is positive, you would be very likely to come home with more 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