let X be random variable with the following probability distribution
X 0 1 2 3 4
f(x) 1/16 1/4 3/8 1/4 A
a) Find and plot the cumulative distribution function (CDF), F(x).
b) Evaluate the mean and the variance of the random variable x.
c) Find P(x=2) using CDF in (a)
d) if another random variable Y= X^2 + 1 is formed, find the mean E[Y].