2. Suppose that 70% of students attend a 9:00 am course. Of these students, 80% have a course at 10:00. Suppose 60% of students have a course at 10:00. Let A Event that student has a course at 9:00, and B= Event that student has a course at 10:00 a. Find the probability a student has a class at 9:00. b. Find the probability a student has a class at 10:00. c. Find the probability a student has a class at 10:00, given that they have a class at 9:00. d. Find the probability that a student has a class at 9:00 and a class at 10:00. e. Is having a class at 9:00 and having a class at 10:00 independent? Justify answer. t. Is having a class at 9:00 and having a class at 10.00 mutually exclusive? Justify answer.

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