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    12) The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows:
    Major Male Female Totals
    Physics 25 25 50
    Chemistry 60 40 100
    Geology 30 20 50
    Totals 115 85 200

    Suppose a person is selected at random from these graduates. Consider the following events:
    M: The person is a male.
    F: The person is a female.
    P: The person graduated in physics.
    C: The person graduated in chemistry.
    G: The person graduated in geology.
    Find:
    a) P(M)
    b) P(M|P)
    c) P(C and F)
    d) P(C|F)
    e) P(C and G)
    f) P(C or G)
    g) Are events C & F independent? Give a reason for your answer.

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    https://brainmass.com/physics/statistical-mechanics/statistical-events-random-graduates-7909

    Solution Preview

    a) P(M)
    Solution. Since there are 50+100+50=200 graduates, of them there are 115 who are male. So, P(M)=115/200=0.575

    b) P(M|P)

    Solution. Since there are 50 graduates from major physics, among them there are 25 who are male. Thus,
    P(M|P)=25/50=0.5

    c) P(C and F)

    Solution. Since there are ...

    Solution Summary

    12) The physical science degrees conferred by a school between 1992 and 1995 were broken down as follows:
    Major Male Female Totals
    Physics 25 25 50
    Chemistry 60 40 100
    Geology 30 20 50
    Totals 115 85 200

    Suppose a person is selected at random from these graduates. Consider the following events:
    M: The person is a male.
    F: The person is a female.
    P: The person graduated in physics.
    C: The person graduated in chemistry.
    G: The person graduated in geology.
    Find:
    a) P(M)
    b) P(M|P)
    c) P(C and F)
    d) P(C|F)
    e) P(C and G)
    f) P(C or G)
    g) Are events C & F independent? Give a reason for your answer.

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