A decision maker has a utility function for monetary gains x given by u(x)=(x+10000)^(.5)

a) Show that the person is indifferent between the status quo and

L: With probability 1/3, he or she gains 80,000

With probability 2/3, he or she loses 10,000

b) If there is a 10% chance that a painting valued at $10,000 will be stolen during the next year, what is the most (per year) that the decision maker would be willing to pay for insurance covering the loss of the painting?