Some of the students pass the course, and some of them do not pass. Research indicates that 40% of the students do the assigned homework. Of the students who do homework, there is an 80% chance they will pass the course. The probability of not passing if the student does not do the homework is 90%.
Required:
1. What is the probability of a student doing the homework and passing?
2. What is the probability of a student not doing the homework and not passing?
3. What is the probability of a student not doing the homework or passing?
4. What is the probability of passing?
5. Of the given students who do not do homework what is the probability of the students passing?
6. Given a student passes the course what is the probability that they did the homework?
7. Are the homework and passing independent or dependent? Why?