Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given as (a) list the marginal distribution of X. (b) list the marginal distribution of Y. (c) Find P(Y = 3 | X = 2). (d) whether the two variables are dependent or independent? (e) calculate the covariance of the random variables X and Y.