A casino company offers a simple game which is described as follows: The prize of the game depends on four unbiased coins you toss. If all four heads appear, you get $650. If all tails appear, you get $50. If exact three heads appear, you get $180. If exact three tails appear, you get $120. Otherwise, you get $150.

3. Suppose now the utility function is U=E(r)-0.5A2. (Inputs should be in decimal format.) The company still charges the entry fee $150 for the game. For an investor with A=0.4, will the investor prefer this coin game to an instant risk-free rate of 1%?