The GMAT score of students at a certain business school is uniformly distributed between [680,760] (assume for simplicity that the GMAT score is a continuous random variable). Suppose that we pick three students at random.
i. What is the probability that there are no students (out of the three) with a GMAT score exceeding 720?
ii. What is the probability that the minimum of the 3 GMAT scores exceeds 700?