PART 2: Expected Value, Expected Utility, and Prospect Theory Flag question: Spacer You are playing a modified game where you can win or lose money based on the roll of a fair 6-sided die. The rules of the game are: If you roll a 1, you lose $2. If you roll a 2, you win $4. If you roll a 3, you lose $8. If you roll a 4, you win $16. If you roll a 5, you lose $32. If you roll a 6, you win $64. Flag question: Question 5 Question 5 1 pts Calculate the expected value of the game after accounting for a $10 entry fee. Give your answer rounded to two decimal places. Flag question: Question 6 Question 6 1 pts Suppose that you are playing this game with a loaded die, i.e. a die with different probabilities for each of its 6 sides. You know these probabilities, and they are: Die face Probability 1 0.5 2 0.25 3 0.125 4 0.0625 5 0.03125 6 0.03125 Given these probabilities and the same payoffs as in a., calculate the expected value of the game after accounting for a $11 entry fee. Give your answer rounded to 2 decimal places