Dr. Miriam Johnson has been teaching accounting for over 20 years. From her experience she knows that 60% of her students do homework regularly. Moreover, 95% of the students who do their homework regularly generally pass the course. She also knows that 85% of her students pass the course. Let event Abe “Do homework regularly” and B be “Pass the course”.

What is the probability that a student will do homework regularly and also pass the course? (Round your answer to 2 decimal places.)

What is the probability that a student will neither do homework regularly nor will pass the course? (Round your answer to 2 decimal places.)

Are the events “pass the course” and “do homework regularly” mutually exclusive?   No because P(B | A) ≠ P(B).No because P(A ∩ B) ≠ 0.Yes because P(B | A) = P(B).Yes because P(A ∩ B) = 0.

Are the events “pass the course” and “do homework regularly” independent?   No because P(B | A) ≠ P(B).No because P(A ∩ B) ≠ 0.Yes because P(B | A) = P(B).Yes because P(A ∩ B) = 0.Hints