Question 3 A product is classied according to the number of defects it contains and the factoryr that produces it. Let X and Y be the random variables that represent the number of defects per unit (taking on possible values of (L 1, 2. or 3) and the factory number {taking on possible values 1 or 2), respectively. The entries in the table represent the joint possibility mass function of a randomly chosen product. 1 2 gr 0 1:15 133 1 1f1s lfl 2 3:15 133 s 1f4 133 a) Find the probability mass function of X, . i.e._. PK (1'): and the probability mass function for Y. PYU]. 1)) Find E[X]= HEY]= Var(X)_. and Varulin. c) Find CoviiXXj, VanZX + Y], and CoanXj