2. Let X and Y be jointly continuous random variables with joint pdf f(x, y) = c(x ty?) -1

2. Let X and Y be jointly continuous random variables with joint pdf otherwise For your convenience, you may use without proof that the marginal pdf of Y IS given by otherwise and that the mean and variance of X are E(X) = O and Var(X) = J} , respectively. (a) Find value of the c that makes f (x, y) is a valid pdf. Note: If you are unable to solve this part of the question, you may use the value c = to do parts (b)-(e). (3 pts)