What is the probability that the individual is married

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Problem: 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.

Required:

Question 1: What is the probability that the individual is married and has a university degree?

Question 2: What is the probability that the individual is married or has a university degree, or both?

Question 3: What is the probability that the individual is married or has a university degree, but not both?

Question 4: What is the probability that the individual is not married and does not have a university degree?

Question 5: If the individual has a university degree, what is the probability he/she is married?

Question 6: Are the events "having a university degree" and "being married" independent? Explain.

Question 7: Are the events "being married" and "having a university degree" mutually exclusive? Explain.

Reference no: EM132463560

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