Peter has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 575% and standard deviation of 4.97% a. Use Excel's Analysis Toolpok, 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 $33,000 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 533,000 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.)