Dr. Miriam Johnson has been teaching accounting for over 25 years. From her experience, she knows that 70% of her students do homework regularly. Moreover, 96% of the students who do their homework regularly pass the course. She also knows that 86% of her students pass the course. Let event A be "Do homework regularly" and B 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 probability 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? c. Are the events "pass the course" and "do homework regularly" mutually exclusive? Yes because P(BA)=P(B). No because P(BA)=P(B). Yes because P(AB)=0. No because P(AB)=0. d. Are the events "pass the course" and "do homework regularly" independent? Yes because P(BA)=P(B). No because P(BA)=P(B). Yes because PAB)=0. No because P(AB)=0