The employees of a large company were surveyed on questions regarding their educational background and gender. Out of a total of 200 women employees, 120 had college degrees. Out of a total of 250 men employees, 125 had college degrees.

(a) Set up a 2 X 2 contingency table to evaluate the probabilities.

(b) Give an example of a simple event for this survey.

(c) Give an example of a joint event for this survey.

(d) What is the complement of the event: a man with a college degree?

If an employee is selected at random,

(e) What is the probability that the employee is a woman?

(f) What is the probability that the employee has a college degree?

(g) What is the probability that the employee is a woman and has a college degree?

(h) What is the probability that the employee is a woman or has a college degree?