Problem 3 [10 marks) The joint density function of two random variables X and Y is l_ 61: D

Problem 3 (10 marks) The joint density function of two random variables X and Y is 6c O < c < O otherwise (a) Are X and Y independent? Justify your response. (2 marks) (b) What is the probability that X is bigger than Y by at least 0.25? (4 marks) (c) Find < 0.21Y = 0.3). (4 marks)