please show readable work! thank you! the last time i posted this question it was wrong.

6. (10 percent) Assume that you are a fund manager who believes that economic conditions during the next year will be strong, normal, or weak. You think that the fund's returns will have the probability distribution shown below. What's the expected rate of return for this fund and what's the standard deviation of the estimated returns? (Hint: Use the formula for the standard deviation of a population, not a sample.) Do not round your intermediate calculations. 6. (10 percent) Assume that you are a fund manager who believes that economic conditions during the next year will be strong, normal, or weak. You think that the fund's returns will have the probability distribution shown below. What's the expected rate of return for this fund and what's the standard deviation of the estimated returns? (Hint: Use the formula for the standard deviation of a population, not a sample.) Do not round your intermediate calculations