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Math Help - Probability Distributions Problem

  1. #1
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    Probability Distributions Problem

    I am trying to do this problem and I have the answer key of course to it. But I can't quite figure out how to get there if someone could help me out.

    An urn holds 5 white and 3 black marbles. If 2 marbles are to be drawn at random with replacement and X denotes the number of white marbles, find the probability distribution for X.

    Thanks for any help.
    Last edited by VGDude85; March 18th 2009 at 06:35 PM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    that's a binomial n=2, p=5/8
    (if you do it this without replacement it's a hypergeometric)

    P(X=x)={2 \choose x}(5/8)^x(3/8)^{2-x}, x=0,1,2.
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  3. #3
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    Was that the binomial distribution?
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  4. #4
    MHF Contributor matheagle's Avatar
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    that is binomial, since the probability of succes (white) remains at 5/8
    and the probability of failure stays at 3/8.

    If you do not replace these marbles, then it will be a hypergeometric rv.
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  5. #5
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    Oh ok, I see that now thank you
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