# Question

Suppose that 60% of the students do homework regularly.

It is also known that 80% of students, who had been doing homework regularly, end up doing well in the course (get a grade of A or B). Only 20% of students, who had not been doing homework regularly, end up doing well in the course.

a. What is the probability that a student does well in the course?

b. Given that the student did well in the course, what is the probability that the student had been doing homework regularly?

It is also known that 80% of students, who had been doing homework regularly, end up doing well in the course (get a grade of A or B). Only 20% of students, who had not been doing homework regularly, end up doing well in the course.

a. What is the probability that a student does well in the course?

b. Given that the student did well in the course, what is the probability that the student had been doing homework regularly?

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