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A dorothy is indifferent between a certain payoff of x and

Dorothy has a utility function of the form U w0.5 , and faces a situation in which income is $36 with probability 0.5 and $100 with probability 0.5.

(a) Dorothy is indifferent between a certain payoff of $x and this gamble. What is x?

(b) Suppose Dorothy is offered, for $32, full insurance for the $64 (potential) loss. Will she buy it? Why?

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