I need help with all parts of this question

Problem RRS - 2 The Big Papi's "Winner Take All Fund" has a total investment of $400 million in five stocks: Stock Investment Stock's Beta Coefficient S120 mil 0.5 B S100 mil 2.0 C S60 mil 4.0 S80 mil 1.0 E S40 mil 3.0 The current Risk-free rate is 7%. The market return has the following estimated probability distribution for the following year: Probability (E)km 0.1 8% 0.2 10% 0.4 12% 0.2 14% 0.1 16% a. What is the (E)Betap? b. Compute Winner Take All's required rate of return for next year (E)kp. c. Suppose Winner Take All's management receives a proposal for a new stock. The investment needed to take a position in ARod, Inc's stock is $50 million; it will have an expected return of 16%, and its estimated beta coefficient is 2.5. Should the new stock be purchased? At what expected rate of return should management be indifferent to purchasing the stock