1) A box contains 4 white balls and 4 black balls. 3 balls are to be selected at random without replacement. Let X be the random variable representing the number of black balls in the sample. a) List the possible values of X. (3 points) b) Find the probability distribution formula. (4 points) 10) I have 3 bags that each contain 100 marbles. Bag 1 has 75 red, 25 blue marbles Bag 2 has 80 red, 20 blue marbles Bag 3 has 45 red, 55 blue marbles I choose one of the bags at random and then pick a marble from the chosen bag, also at random. What is the probability that the chosen marble is red? (8 points)