Consider a discrete random variable X with z-transform: F(2) = ee+2-z Find the probabilities P[X = 0], P[X = 1], P[X = 2], P[X = 3] and P[X = 4]. What do you suppose is the probability P[X = k] for any k? Also find E[X]. [Hint: e may be expanded as e = 1+z+z/2!+ z/3! + ....]