1) Suppose that two random variables X & Y are jointly distributed according to the pdf f(x,y)=8xy , 0<=y<=x<=1. What is the correlation coefficient of X & Y?

2) Consider the sample space S={(-2,4),(-1,1),(0,0),(1,1),(2,4)}.Where each point are assumed to be equally likely.Define the random variable X to be the first component of a sample point and Y to be the second.Then X(-2,4)=-2, Y(-2,4)=4 and so on.Is X and Y independent? What is the covariance Cov(X,Y)?