In a university, 99.7% of the students are taking a Statistics class when they are also taking a Math class. When a student is not taking a Math class, the probability of taking a Statistic class is 0.015. Suppose that 85% of students are taking a Math class. Given a student is taking a Statistics class, (a) is this event dependent or independent? Explain why. (b) How likely is it that a student is also taking a Math class?