4. A jar contains 6 green jelly beans and 5 purple jelly beans. (a) Suppose one jelly bean is to be selected at random. What is the probability that a purple jelly bean is selected? (b) Suppose 9 jelly beans are to be selected at random with replacement. Let X be the number of green jelly beans in the selected. Calculate P(X probability that there is exactly one green jelly bean in the 9 selected. = 1), the (c) Now suppose 5 beans are to be selected at random without replacement. Let Y be the number of purple jelly beans in the selected. Calculate P(Y = 1), the probability that there is only one purple jelly bean in the 5 selected.