Peter has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 5.44% and standard deviation of 3.43% a. Use Excel's Analysis ToolPak, with a seed of 1, to simulate 5,000 trials to estimate the mean balance after one year. (Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places.) Average balance after one year b. What is the probability of a balance of $31,500 or more? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.) Probability of having a balance of 531,500 or more % c. Compared to another investment option at a fixed annual return of 3% per year, what is the probability of getting at least the same balance from the mutual fund after one year? (Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places.) Probability of getting the same balance from the mutual fund after one year %