Dr. Miriam Johnson has been teaching accounting for over 30 years. From her experience, she knows that 50% of her students do homework regularly, Moreover, 92% of the students who do their homework regularly pass the course. She also knows that 82% of her students pass the course. Let event A be "Do homework regularly" and be "Pass the course". a. What is the probability that a student will do homework regularly and also pass the course? (Round your answer to 2 decimal places.) b. What is the probobility that a student will neither do homework regularly nor will pass the course? (Round your answer to 2 decimal places.) c. Are the events "pass the course" and "do homework regularly" mutually exclusive