Exercise 4-21 AlgoDr. Miriam Johnson has been teaching accounting for over 26 years. From her experience, she knows that 60% of her students do homework regularly. Moreover, 90% of the students who do their homework regularly pass the course. She also knows that 80% 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? multiple choice 1

• Yes because P(B | A) = P(B).
• No because P(B | A) P(B).
• Yes because P(A B) = 0.
• No because P(A B) 0.

d. Are the events "pass the course" and "do homework regularly" independent? multiple choice 2

• Yes because P(B | A) = P(B).
• No because P(B | A) P(B).
• Yes because P(A B) = 0.
• No because P(A B) 0.