3) Let X be a discrete random variable taking values x = 0, 1, 2, 3, 4 or 5 BE .S . I zoulay X P(X= x) x P(X= x) * 2 XP(X= x) 0 0.75 1 2 0.05 3 0.04 4 0.02 5 0.01 Total 1 a) Fill in the table so that it is a discrete probability distribution. Determine the mean, standard deviation, and variance of the distribution. b) Compute the following probabilities P( X 2 3) = P ( X = 2) = P ( X S 4 ) = P ( X > 4 ) = P ( I S X 4.96 Standard Deviation = 1.318 b) Find P(X