Question: in a large corporation 80 of the employees are men...

In a large corporation, 80% of the employees are men and 20% are women. The highest levels of education obtained by the employees are graduate training for 10% of men, undergraduate trading for 30% of men, and high school training for 60% of the men. The highest levels of education obtained by the employees are graduate training for 15% of women, undergraduate training for 40% of women, and high school training for 45% of the women.
(a) What is the probability that a random chosen employee will be a
man with only a high school degree? [2]
(b) What is the probability that a random chosen employee will
have graduate training? [2]
(c) What is the probability that a random chosen employee who has graduate training
is a man? [2]
(d) Are gender and level of education of employees in this corporation
statistically independent? [2]
(e) What is the probability that a randomly chosen employee has not
had graduate training? [2]