Need help on part (b)

Ehrenfest model of diffusion (a) Implement simulation of the Ehrenfest diffusion model and plot one realization of the chain with the total number of particles N=IOO and 300 time steps. (13) Use the ergodic theorem to approximate the stationary variance of the number of particles and compare your estimate with the analytical result. Theorem. (Ergodic Theorem) Let {Xn} be an irreducible positive recurrent Markov chain with stationary distribution