Lakisha has a utility function for income given by Upper U left parenthesis Upper I right parenthesis equals StartRoot Upper I EndRoot. Lakisha is $.$ Part $2$ Lakisha is considering an investment that would give her an income of $$$$10,000$ with a probability of $0\mathrm{.}35$ or an income of $$$$15,000$ with a probability of $0\mathrm{.}65.$ The expected utility of this investment is enter your response here. $($Enter your response as a real number rounded to two decimal$$ places.$)$ Part $3$ Lakisha is also considering a safe investment that returns a certain income of $$$$12,000.$ Given her utility$$ function, Lakisha would prefer the $$ investment with the uncertain income safe investment with the certain income $.$