Imagine Nile has the utility function U(W) = (W)^1/2/2. Nile has $100. Nile and her roommate choose who pays their internet bill each month with a coin-flip. The internet costs $64.

1. What is the expected value of Nile's cash after the internet bill is paid?
2. What is Nile's expected utility?
3. Is Nile risk averse, risk neutral, or risk seeking? Explain.
4. What risk premium would Nile pay to avoid bearing the risk of the coin flip to decide who pays for the internet