You have 3 jars of jelly beans, one with n red jelly beans, one with n blue jelly beans and one with n green jelly beans. Each day when you come home, you eat one jelly bean from one of the jars, where the probability you eat a red one is 0.3, the probability you eat a blue one is 0.1 and the probability you eat a green one is 0.6. (The jar you choose from on each day is independent of the jar you choose from on any other day.) Let X be the total number of jelly beans that you've eaten at the end of the first day on which there is a jar with a single jelly bean left in it. Assume n 2. (So if for example, n = 5, and you eat red, red, green, blue, red, green, blue, red and so on, then X = 8, but if you eat green, green, red, blue, blue, blue, green, red, red, green then X = 10.) 1. (3 points) What are the possible values X takes? (i.e., the set of numbers x such that pX (x) > 0)? TODO: Your solution here. 2. (5 points)