probability

(c) Let: f(x, y) = 6x2y, -1

(c) {0 Let: f (x, y) = (ix2y, I < x < otherwise i) Is y) a valid pdf? If yes, justify your response, and use it in the next parts. If no, compute the normalization factor to make it a valid pdf and use it in the next parts. ii) What are the marginal probabilities for X and Y? iii) What are E[XI, E[YI, var[Xl, var[Y]? iv) What is the probability that X is greater than Y? (3 marks) (3 marks) (3 marks) (3 marks)