calculate analytically the value for the RMS. in he first scenario that it equals sqrt(2Dt) as well ad for the second scenario.

thanks!

dont do any programming, just solve for the root mean squared of a random walk analytically

1. Write a program for a one-dimensional random walk a(t), where at every time step the walk goes randomly +1 step on the x axis. Pass in your code, a plot of x versus t, and a plot of the root-mean-square value of z versus time. Numerically estimate the root-mean-square value of r(t) and show it is approximately proportional to 20t, and estimate the constant D. Calculate D analytically, and compare it to your numerical result. Numerically estimate and analytically calculate D again, where every time step the walk is equally likely to go -2, -1, 1, or 2 steps