The human resources department at a large company looked at the personnel records of all of its employees and found that 72% of its employees were married and 40% had a university degree. Further investigation found that 55% of its university graduates were married. Suppose that an employee is selected at random.
(A) What is the probability that the individual has a university degree and is married?
(B) What is the probability that the individual has a university degree or is married, or both?
(C) What is the probability that the individual has a university degree or is married, but not both?
(D) What is the probability that the individual does not have a university degree and is not married?
(E) If the individual is married, what is the probability they have a university degree?
(F) Are the events "having a university degree" and "being married" independent? Explain.
(G) Are the events "having a university degree" and "being married" mutually exclusive? Explain.