An expected utility maximizer with Bernoulli function has initial wealth

a) Find the formula for the expected utility this agent obtains from accepting a bet that either earns him or loses him dollars with 50/50 chances.

b) Assume = 4, what is the amount such that the agent is indifferent between holding + and obtaining a ticket to a lottery of the type described in (a) if = 3?

c) Does the formula you found in a) tell you something about the risk attitude of this agent (hint: look at how expected utility changes with . Is a lottery with a higher more or less risk?)