2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy (x, y) is given by X 2 W V 0.05 0.05 0.1 2 0.05 0.1 0.35 3 0 0.2 0.1 (a) Evaluate the marginal pdf and the mean of X. (b) Evaluate the marginal pdf and the mean of Y. (c) Evaluate P(Y = 3|X = 2). (d) Evaluate E(XY) and determine if X and Y are uncorrelated