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9. Dr. Ahmad has been teaching Statistics for over 20 years. From his experience, he knows that 70% of his students do homework regularly. Moreover, 95% of the students who do their homework regularly generally pass the course. He also knows that 85% of his students pass the course. (a) What is the probability that a student will do homework regularly and also pass the course? (b) What is the probability that a student will either do homework regularly or will pass the course? (c) What is the probability that a student will neither do homework regularly nor will pass the course? (d) What is the probability that a student will do homework regularly but will not pass the course? (e) What is the probability that a student will not do homework regularly but still will pass the course? (f) Are the events "pass the course" and "do homework regularly" mutually exclusive? Ex- plain. (g) Are the events "pass the course" and "do homework regularly" independent? Explain