Define the joint pmf of a bivariate random variable (X, Y) by p(0, 10) = 2 2 18' p(0, 20) = 18' p(1, 10) = 3 18 4 p(1, 20) = p(1, 30) = 3 4 18' 18' P(2, 30) = 18 (a) Find the conditional pmf of Y given X for each of the possible values of X, x = 0, 1, 2. That is, find pyx=0, PY x=1 and pyx=2 (note that each of them is a function defined on R). (b) Find P(Y > 10 X = 1). (c) Find P(Y > 10 X = 0)