Suppose X is uniform on (0, 1) and Y = X. Find the joint distribution function of X and Y. Suppose X and Y have joint density f (x, y) = 6y when x > 0, y > 0, and x + y (a) Find the marginal densities of X and Y and (b) the conditional density of X given Y = y. A man plays roulette and bets $1 on black 19 times. He wins $1 with probability 18/38 and loses $1 with probability 20/38. What are his expected winnings? NOTE: PLEASE SEND ME ANSWER IN TYPED FORM STRICTLY PROHIBITED HAND WRITTEN SOLUTION AND SEND ME FINALLY ANSWER SEPARTELY