Suppose you won the lottery and had the option of receiving (1) $0.5 million or (2) a gamble in which you would receive $1 million if a head were flipped but zero if a tail came up. a. What is the expected value of the gamble? Round your answer to two decimal places. b. If you choose the sure $0.5 million. Would that indicate that you are a risk averter or a risk seeker? -Select-risk averterrisk seekerItem 2 Suppose the payoff was actually $0.5 million - that was the only choice. You now face the choice of investing it in either a U.S. Treasury bond that will return $537,500 at the end of a year or a common stock that has a 50-50 chance of being either worthless or worth $1,150,000 at the end of the year. c. The expected profit on the T-bond investment is $37,500. What is the expected dollar profit on the stock investment? Round your answer to two decimal places. d. The expected rate of return on the T-bond investment is 7.5%. What is the expected rate of return on the stock investment? Round your answer to two decimal places.