A random vector T = (X, Y)T has the probability density function f(53 )_ 2 1S$2 andlgygw T ,y _ 0 otherwise Prior calculation shows that the mean pg; of X is pm = 5/3. (a) Sketch the region on which fT(3:, y) is positive. (b) Using a double integral, calculate the mean pg of Y. (c) Calculate the covariance cox/(X, Y) between X and Y