he answers to this problem are based on R version 3.5.3. To replicate the results with newer versions of R, execute the following ine of code at the beginning of the R session or your R code: suppressWarnings(RNGversion("3.5.3")). otrica has $30.000 to invest in a mutual fund whose annual returns are normaly distributed with a mean of 5.87% and standard leviation of 4.10%. Use R tool, with a seed of 1 , to simulate 5.000 trials to estimate the mean balance after one year. Note: Round intermediate calculations to at least 4 decimal places and your final answer to 2 decimal places. b. What is the probability of a balance of $32,600 or more? Note: Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places. 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? Note: Round intermediate calculations to at least 4 decimal places and show your final answer as a percentage point with 2 decimal places