Alia is offered to participate in the following lottery: she can receive $87.2 with probability 0.47, or $133.44 with probability 0.53.

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(a) Suppose Alia evaluates the lottery using the expected utility of the payoff, and her utility function is linear: U(x)=x. What riskless payoff would Alia view as equivalent to the payoff of the above lottery?

(b) Suppose Alia evaluates the lottery using the expected utility of the payoff, and her utility function is logarithmic : U(x)=ln(x). What riskless payoff would Alia view as equivalent to the payoff of the above lottery?