X is a discrete r.q. taking values k=0,1,2,3,... with probabilities p(1-p)^k, where p is a parameter with values in the interval (0,1). Do the plots for a selected value of p (e.g., p=0.3).

In Mathematica:

(a) Plot the probability mass function PMS (in the discrete case) , or the probability density function PDF(in the continuouscase)

(b) Calculate and plot the cumulative distribution function CDF

(c) Calculate the mean and variance, and the moment function m(n), and plot the latter.