The probability distribution of a discrete random variable X is given by a. Compute E[X]. b. Give the probability distribution of Y = X2 and compute E[Y ] using the distribution of Y . c. Determine E...

The probability distribution of a discrete random variable X is given by

a. Compute E[X].

b. Give the probability distribution of Y = X2 and compute E[Y ] using the distribution of Y .

c. Determine E X2  using the change-of-variable formula. Check your answer against the answer in b. d. Determine Var(X).