Generate plots (using R) in which you overlay the pmf of binomial and Poisson distributions with the following parameters:

(a) n = 100 and p = 0.5 and ?? (lambda) = np

(b) n = 200 and p = 0.25 and ?? (lambda) = np

(c) n = 400 and p = 0.125 and ?? (lambda) = np

(d) n = 800 and p = 0.0625 and ?? (lambda) = np

Let the curves be of two different colors and include the command that generates the plots for at least one of the four cases.