Let X be a discrete random variable that is the value shown on a single roll of a fair die.
(a) Represent the probability density function f(x) in a tabular form
(b) What is the probability that X=4? That X=4 of X=5?
(c) What is the expected value of X? Explain the meaning of E(X) in this case
(d) Find the expected value of X^2
(e) Find the variance of X
(f) Obtain a die. Roll it 20 times and record the values obtained. What is the average of the first 5 values? The first 10? What is the average of the 20 rolls?