Consider a group of m roommate pairs at W U. (There are 2m students). Each of these 2m students independently decides randomly whether to take Class A, with probability p of "success" (where "success" is defined as taking Class A) Let N= the number of students (among these 2m) who take Class A. Let X= the number of roommate pairs where both roommates in the pair take Class A. a) Consider an Indicator variable I, for the jth roommate pair, equal to 1 if both take Class A Find E(Ij ). b) Find E(X) Find E(XIN)