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Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $16. If you roll a 4 or 5, you win $1. Otherwise, you pay $6. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table X P(X) X 18 X 1.6 X 6 X 2.8 X b. Find the expected profit S (Round to the nearest cent) c. Interpret the expected value. If you play many games, on average, you will likely win, or lose if negative, close to this amount. O You will win this much if you play a game. This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? with less money if