Smith Just Bought a House for $250,000

Multiple Choice

Smith just bought a house for $250,000. Earthquake insurance, which would pay $250,000 in the event of a major earthquake, is available for $25,000. Smith estimates that the probability of a major earthquake in the coming year is 10 percent, and that in the event of such a quake, the property would be worth nothing. The utility (U) that Smith gets from income (I) is given as follows:
U(I) = I^0.5.
Should Smith buy the insurance?

A) Yes.
B) No.
C) Smith is indifferent.
D) We need more information on Smith's attitude toward risk.