Question: Suppose an individual has the following utility function U(W) = W and their initial level of wealth is K36. They are contemplating a gamble

Suppose an individual has the following utility function U(W) = W and their initial level of wealth is K36. They are contemplating a gamble in which they will win K13 with probability an and lose K11 with probability a) What is their expected value of wealth of this gamble? b) What is their expected utility? c) Should they take the gamble? Why or why not? Please show and briefly explain. d) Is the individual risk averse, a risk loving or risk neutral? Show and explain.

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