You are interested in buying a stock that has a price of $32. You have projected that next year there is: a 10% probability the stock will equal $1, a 20% probability the stock will equal $24, a 30% probability the stock will equal $33, a 30% probability the stock will equal $45, and a 10% probability the stock will equal $60. Answer the following (showing all work): (a) what is the expected return on the stock if you buy today and sell next year? (b) What is the expected standard deviation of the stock?