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

###### Question details

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]