Jack is a talented investor, but his earnings vary considerably from year to year. In the coming year he expects to earn $250,000 with good luck or $90,000 with 2 bad luck. Somewhat oddly, given his chosen profession, Jack is risk averse, so that his utility is equal to the square root of his income. The probability of Jack’s having good luck is 0.5. Required:
a. What is Jack's expected utility for the coming year?
b. What amount of certain income would yield the same level of utility for Jack as the expected utility in part (A)?