Use the information in the table below for questions b) to e). The annual rate of return and related probabilities for each security are given. Stock A Rate of Return 10% 14% 18% Probability 30% 35% 35% Stock B Rate of Return 5% 15% 25% b. Calculate the expected rate of return, E(R), for each stock. c. Calculate the standard deviation, o, for each stock. Probability 25% 30% 45% d. Which stock should you purchase? Explain why you make such choice. e. Imagine that you will make a portfolio that consists of 60% of Stock A and 40% of Stock B, assuming the correlation coefficient between A and B (PAB) is -0.35. Based on the answer you obtained from b) and c), calculate the expected return, E(Rp), and standard deviation, op, of your portfolio.