Question: In a large corporation 80 percent of the employees are men and 20 percent are women. The highest levels of education obtained by the employees are graduate training for 10 percent of the men, undergraduate training for 30 percent of the men, and high school training for 60 percent of the men. The highest levels of education obtained are also graduate training for 15 percent of the women, undergraduate training for 40 percent of the women, and high school training for 45 percent of the women.

[A] What is the probability that a randomly chosen employee who has graduate training is a man?

[B] Are gender and level of education of employees in this corporation statistically independent?

[C] What is the probability that a randomly chosen employee who has not had graduate training is a woman?

[D] What is the probability that a randomly chosen employee will be a man with only a high school education?

[E] What is the probability that a randomly chosen employee will have graduate training?