3. The employees of a large company were
surveyed on questions regarding their educational background and
gender. Out of a total of 400 women employees, 240 had college
degrees. Out of a total of 400 men employees, 200 had college
degrees.
(a) Set up a 2 X 2 contingency table to evaluate the
probabilities.
(b) Give an example of a simple event.
(c) Give an example of a joint event.
(d) What is the complement of the event: a woman with a college
degree?
If an employee is selected at random,
(e) What is the probability that the employee is a man?
(f) What is the probability that the employee has a college
degree?
(g) What is the probability that the employee is a man and has a
college degree?
(h) What is the probability that the employee is a man or has a
college degree?