In a Management trainee program at Claremont Enterprises, 90 percent of the trainees are female and 10 percent male. Ninety five person of the female attended college, and 78 percent of the males attended college.

1. A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?
2. Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities.
3. Do the joint probabilities total 1.00? Why?