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Question 3 [8 points] Consider the following relationship. A Musician and an IT Consulmnt both have rather risky incomes. If they have a good month, each will earn $5,000, but if they have a bad month, each will earn $1,000. Their risks are independent in that if one of the individuals has a good or bad month, it has no effect on the other individuals income. The two individuals have decided to pool and split their incomes to try and stabilize their incomes. Using this information, answer the questions below showing how their income is stabilized and how their utility changes. Note: Keep as much precision as possible during your calculations. Your nal answer should be accurate to at least two decimal places. a) Fill in the following table, showing the amounts they get each (not total). (Top left box to ll in = Both have a good month, Top right box to ll in = Musician has a good month and IT Consultant has a bad month, etc...) IT Consultant Good Month ($) Bad Month ($) Musician Using the data in the table you created, compute the average utility that each participant gets from his or her income with no pooling of risk, and with risk pooling. Suppose that the utility of both of the individuals having a bad month is 25, the utility from one of the individuals having a good month and the other having a bad month is 60, and the utility from both individuals Good Month ($) Bad Month ($) 5.000 1,000 5,000 having a good month is 81. b) What is the average utility that each participant gets from his or her income with no pooling of risk. Average Utility = per participant c) What is the average utility that each participant gets from his or her income with pooling of risk. [Average Utility = per participant 1,000