Select a first-year college student at random and ask what his or her academic rank was in high school. Here are the probabilities, based on proportions from a large sample survey of first-year students: Rank Probability Top 20% 0.41 Second 20% 0.23 Third 20% 0.29 Fourth 20% 0.06 Lowest 20% 0.01 a. Choose two first-year college students at random. Why is it reasonable to assume that their high school ranks are independent? b. What is the probability that both were in the top 20% of their high school classes? C. What is the probability that the first was in the top 20% and the second was in the lowest 20%?