3 30 points Suppose the joint probability density function o

3. (30 points) Suppose the joint probability density function of X and Y is given by If x= 1,2,. . . .y and y= 1,2,3,4. (a) Find the following probabilities: i. P(X > = 2, Y = 4). (b) (10 points) Find the marginal probability density function X and Y. (c) (10 points) Find the conditional probability density function of Y given X = use it to find E(Y|X= 2).