Apply the techniques you learned from the tutorial videos to perform the following analysis:

John and Jena are saving money for their $7-$year$-$old son to go to college.

They decided to have $$100,000$ saved by the time their son is ready for college in $10$ years.

John and Jena are planning to save $$8,000($at the beginning of$)$ each year.

Assume that the return each year varies and is sampled from the same normal distribution $($mean rate of return is $4\%,$ standard deviation is $10\%).$

Use Monte Carlo simulation to figure out how likely John and Jena will reach their goal.

Run a simulation of this investment strategy with at least $1000$ trials.

Write a one$-$page report on the result of your analysis.

What is your simulation result?

How does the result change when you repeat the experiment?

How is the simulation result different from a "normal" estimate using just the mean?