Kevin has a 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 a game show, the host offers Kevin a choice between (A) $9 million for sure, or (B) a gamble that pays $1 million with probability 0.4 and $16 million with probability 0.6. 1. True or False: Kevin is risk averse.
2. Choice (A/B) offers Kevin a higher expected prize. (Hint: The expected value of a random variable is the weighted average of the possible outcomes, where the probabilities are the weights.)
3. Choice (A/B) offers Kevin a higher expected utility.
4. Kevin should pick choice (A/B)