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2. Let the utility of money function be u(w) = w'. Consider the lottery which yields w = $10.000 with .8 probability of winning w = $3,000 and .2 probability of losing $5,000. Calculate: a. the expected utility of this lottery. b. the utility of the expected value of this lottery. c. the certainty equivalent (the amount of money which yields utility equal to the expected utility) of this lottery. d. the coefficient of absolute risk aversion for this utility function at w = $10,000