The probability distribution of a discrete random variable X is given by:
P(X = -1) = 1/5 ,
P(X = 0) = 2/5 ,
P(X = 1) = 2/5 .
a. Compute E[X].
b. Give the probability distribution of Y = X^2 and compute E[Y ] using the distribution of Y .
c. Determine E[X^2].