Monte Carlo noise simulation

I need help getting started with this problem. Is there a built in Matlab syntax I can do this with.

a) Perform 1000 run monte-carlo simulation to demonstrate that the error from the sum OR difference of two random measurements is expressed by .

b) Perform a 1000 run monte-carlo simulation (of 10 minutes) to look at the error growth of a random walk (integrated white noise). Use a white noise with 1-sigma value of 0.1 and 0.01 and compare the results. Plot the mean and standard deviation of the monte-carlo simulation along with one run of the simulation (show that the random walk is zero mean with a standard deviation is

Answer 1

[Image Analyst]

You can use rand() to get a 1000 row matrix with 2 columns. Then use mean() and std() on each column or row.

I'm attaching some Monte Carlo demos for you.