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

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 T f(x, y) 2 3 0.05 0.05 0.10 CH1 09 0.05 0.10 0.35 0.00 0.20 0.10 a) Find E[X]. (2pt) b) Find E[X IY = 3.] (2 pt ) c) Find E[XIY - ).] (2pt)