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Math Help - Probability of different events.

  1. #1
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    Post Probability of different events.

    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.

    A) is 0.55
    B) 0.72+0.40-0.55 = 0.57
    C) 1-0.57 =
    D)1-0.55=
    E) ?
    F) ?
    G) ?

    Is this right? I need help in the others please.
    Last edited by mr fantastic; October 19th 2011 at 06:47 PM. Reason: Merged posts.
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  2. #2
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    Re: Probability!

    Quote Originally Posted by jakeroy17 View Post
    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.

    A) is 0.55
    B) 0.72+0.40-0.55 = 0.57
    C) 1-0.57 =
    D)1-0.55=
    E) ?
    F) ?
    G) ?

    Is this right? I need help in the others please.
    I only checked A). It's wrong. The answer is (0.55)(0.4) = .....

    I suggest you construct a Venn diagram to help answer the remaining questions.
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