2. Now we would like to get an idea of where the average drunken sailor will be after Nsteps. Thus, write a MATLAB m file that will have as inputs both the number of steps your sailors will take (Nsteps) and the number of sailors you would like to track (Nsailors). The output of this mfile should be two vectors. The first vector (x) should be a list of the possible final positions of the sailor (you will need to generate this as a function of Nsteps). The second vector (loc) should contain the number of your Nsailors that finished at each of those locations. Finally, use MATLABs scatter command (use the help to see the proper syntax) to plot loc vs. x.

What is the name of your MATLAB mfile for this problem? __________________

Have your MATLAB script generate plots for a few values of Nsailors and Nsteps. Use a number of sailors big enough to get good data (at least >1000) but not so many that the calculation takes too long (<500000). Consider values for Nsteps ranging from 5 to 15. It should be apparent that loc takes on a functional form similar to a nonnormalized Gaussian distribution.

For Nsailors=10000 and Nsteps=10, what are your results for the vectors