Patricia has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 4.40% and standard deviation of 3.60%. a. Use Excel's Analysis ToolPak, 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. Average balance after one year b. What is the probability of a balance of $31,800 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. Probability of having a balance of $31,800 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? Note: 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 %

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Patricia has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 4.40% and standard
deviation of 3.60%.
a. Use Excel's Analysis ToolPak, 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.
Average balance after one year
b. What is the probability of a balance of $31,800 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.
Probability of having a balance of $31,800 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?
Note: 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
%
Transcribed Image Text:Patricia has $30,000 to invest in a mutual fund whose annual returns are normally distributed with a mean of 4.40% and standard deviation of 3.60%. a. Use Excel's Analysis ToolPak, 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. Average balance after one year b. What is the probability of a balance of $31,800 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. Probability of having a balance of $31,800 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? Note: 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 %
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