Kat's disposable income is $8,100 per month. Each month there is a 20% chance of a storm damaging Kat's home, causing damage that will cost $3476 to repair. (There is a 80% chance that nothing will happen.) Kat's preferences are represented by the utility function U(I) = √I where I represents Kat's income Use the information provided to answer the following questions: i. The expected value of the lottery is ___ ii. Kat's expected utility from the lottery is ___ iii. The fair price of an insurance policy that completely compensates Kat in the event of an accident is ___ iv. Kat's risk premium is ___ v. If Kat is offered an insurance policy for the price of $700, she will ___