8. The density function of the two-dimensional random variable (X, Y ) is for 0

8. The density function of the two-dimensional random variable (X, Y) is for 0 < 0 < y < 1, o, otherwise. 6 Problems 51 (a) (b) (c) Determine the distribution of Y. Find the conditional distribution of X given that Y = y. Use the results from (a) and (b) to compute E X and Var X.