Lakisha has a utility function for income given by Upper U left parenthesis Upper I right parenthesis equals StartRoot Upper I EndRoot. Lakisha is

risk averse

$.$

Part $2$

Lakisha is considering an investment that would give her an income of $$$$10$ comma $000$ with a probability of $0\mathrm{.}5$ or an income of $$$$15$ comma $000$ with a probability of $0\mathrm{.}5.$ The expected utility of this investment is

$$

enter your response here. $($Enter your response as a real number rounded to two decimal$$ places.$)$

Part $3$

Lakisha is also considering a safe investment that returns a certain income of $$$$16$ comma $000.$ Given her utility$$ function, Lakisha would prefer the

investment with the uncertain income

$.$