申論題

Question 4. (25 points)
 Jamal has n utility function U=W^1/2, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. In the final stage of n game show, the host offers Jamal q choice between (A) S4 million for sure, or (B) q gamble that pays $ 1 million with probability 0.6 and $ 9 million with probability 0.4.

(b) Does A or B offer Jamal a higher expected prize? Explain your raasanmg with appropriate caleulations. (Hint: The expected value of a random variable is the weighted average of the possible outcomes, where the probabilities are the weights.)________