5-8. A jar contains three balls numbered 1,2, and 3, respectively. Two balls are drawn at random with replacement. Let X be the number of the ball on the first draw and let Y be the number on the second ball drawn. Determine the resulting bivariate probability distribution betweenXandY. What would the said distribution look like if the draws were made without replacement?

For which of these two bivariate distributions is E(X) highest?

Are the random variables for either/both of the two bivariate distributions independent?