A protein chain can be reasonably described as a random walk in 3D space a step size a= 1 nm and number of steps/bonds N=500.

2.1 Simulate a random walk in one dimension (generate at least 100 trajectories).Calculate the mean position of the walker after 500 steps. ls it statistically different from the mean position after 400 steps? Why? 2.2Calculate and plot the variance(MSD) of that random walk as a function of step number up to 500 steps. How does it depend on time? Provide an explanation/derivation. 2.3Assuming that the three spatial dimensions of the protein random walk are independent, what is the expected typical volume in space occupied by the protein chain? How does it compare with an actual size of a typical protein of that length? What accounts for the difference?

pls provide matlab code thank you.