1. Suppose that 40% of students in a college have a smart phone. If you select three students at random, what is the probability that all three have a smart phone? [Note that when a population is sufficient larger than the sample, you may assume independence regardless of whether or not there is replacement. For this problem, our college population size meets this criterion so we may assume independence of the events.] Give your answer as a decimal (to at least 3 places) or fraction

2. Suppose a jar contains 7 red marbles and 36 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

3. 79 students were surveyed regarding their average sleep per night. Some of these students live with their parents while the rest live on campus in a dorm. The results are summarized in the table below.