Question

# 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 is married and has a university degree?

(B) What is the probability that the individual is married or has a university degree, or both?

(C) What is the probability that the individual is married or has a university degree, but not both?

(D) What is the probability that the individual is not married and does not have a university degree?

(E) If the individual has a university degree, what is the probability he/she is married?

(F) Are the events "having a university degree" and "being married" independent? Explain.

(G) Are the events "being married" and "having a university degree" mutually exclusive? Explain.

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