Suppose that you have utility as a function of income (I) given by the equation: \(U = \sqrt{501}\)
Consider a lottery that provides a payoff of $0 with probability 0.75 and $200 with probability 0.25.
a) What is the expected value of this lottery?
b) What is the expected utility of this lottery?
c) What is your utility if you receive a sure payoff of $50? Compare this to the expected utility of the lottery and determine if you are risk adverse.