5. There are 7 red marbles and 3 blue ones in a jar. We randomly take out marbles from the jar without replacement, which means that we do not put any marbles back into the jar after they are taken out. MATH 32: Probability & Statistics Fall Semester 2019 (a) We take out 3 marbles. Let X be the number of red marbles among the three. Does X have a binomial distribution? Why or why not? (b) Let Y be the number of marbles we have to take out until we get the first blue one. Does Y have a geometric distribution? Why or why not?