3. Let X and Y be two continuous random variables with joint pdf 1czy for 0

3. Let X and Y be two continuous random variables with joint pdf (a) (b) (c) (d) -g?fX2y for 0 S x SC, 0 fy C, o/w. o Find the value of the constant C such that f is a valid joint pdf. Find the marginal pdfs of X and Y. Interpret the result! What is the covariance between X and Y? Use part (b) to compute the expected value and the standard deviation of X + Y. Compute the probability P (X Y).