Only coding and simulation in python required. take it only if you know python

A trajectory of a protein thermal noise aneed answer for 2.2 and 2.3 only 2.1 Simulate a symmetric random walk in one dimension (generate at least 100 trajectories). Calculate the mean position of the walker after 500 steps. How close it is to zero? Why? Bonus 5 pt: Is it statistically different from the mean position after 400 steps? Why? 2.2 Calculate and plot the variance (MSD) of the end-to-end distance of that random walk for N=50,100,200,300.400.500 steos as a 2.3 Plot a histogram of the end-to-end distance of the random walk based on the simulated trajectories. Is it described well by a binomial distribution? Comment