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Math Help - One More Probability Question

  1. #1
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    One More Probability Question

    Many skipped classes: GPA < 2 = 80 people, GPA between 2 and 3 = 25 people, GPA > 3 = 5 people

    Few skipped classes: GPA < 2 = 175 people, GPA between 2 and 3 = 450 people, GPA > 3 = 265

    Are "GPA between 2 and 3" and "skipped few classes" independent?
    A. No, b/c .475 does not equal .506
    B. No, b/c .475 does not equal .89
    C. No, b/c .450 does not equal .475
    D. Yes, because of conditional probabilities
    E. Yes, because of the product rule

    I know that they are independent if P(A n B) = P(A) * P(B)
    .45 = .475 * .89
    No it does not, .45 does not equal .42275
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  2. #2
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    Re: One More Probability Question

    For independence we need : P(A|B) = P(A)

    P("GPA between 2 and 3" |"skipped few classes") =450/890=0.506

    P("GPA between 2 and 3") = 0.475

    A) No, b/c .475 does not equal .506
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