Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is odd, you win as many dollars as the number you have rolled. Otherwise, you lose as many dollars as the number you have rolled. Let be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. a. What is your profit if the outcome of the roll is 3? b. Fill out the following probability distribution tableOutcome x Probability c. Compute the expected value (the mean) of X d. Explain the meaning of the expected value of X in the context of this problem e. If you played this game 100 times, how much would you expect to win or lose?