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Math Help - Binomal 'n' Geo

  1. #1
    Senior Member
    Joined
    Feb 2008
    Posts
    383

    Binomal 'n' Geo

    Given Binomal A=(3,\frac{1}{6})
    and B=Geo(0.5)

    Find P(A=B)


    Thanks!
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  2. #2
    Newbie
    Joined
    Jun 2009
    Posts
    10
    If you find the binomial distribution in question to be

    x P(A=x)
    0 125/216
    1 75/216
    2 15/216
    3 1/216

    and the geometric distribution in question to be
    x P(B=x)
    1 1/2
    2 1/4
    3 1/8
    ...

    and we assume the two variables to be independent and random
    then we can find the probability that A=B
    by summing over x= 1,2 and 3

    P(A=x) * P(B=x)

    as B cannot = 0 and A cannot be > 3

    ie

    = 75/216 * 1/2 + 15/216 * 1/4 + 1/216 * 1/8 = 331/1728
    Last edited by mdruett; April 15th 2010 at 04:34 PM. Reason: typographical error
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