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Math Help - Binomial Distribution

  1. #1
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    Binomial Distribution

    Calculate the binomial distribution for
    n = 14 e p = 0,60, find P(X < 9)


    P(X < 9) = 1 - P(X > 9) ????
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  2. #2
    MHF Contributor Unknown008's Avatar
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    No, P(X < 9) means all the values of X that X can take that is less than nine, excluding 9. This means you have X = 0, 1, 2, 3, 4, 5, 6, 7, 8.

    But for P(X > 9), you have X = 10, 11, 12, 13, 14.

    But 1 - P(X > 9) incluse the values of X = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

    which is not equal to P(X < 9)
    Last edited by Unknown008; June 20th 2010 at 09:33 PM. Reason: Forgot the zero... =(
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  3. #3
    MHF Contributor chisigma's Avatar
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    Is...

    \displaystyle P(k<9) = \sum_{k=0}^{8} \binom {14}{k} .6^{k} \ .4^{14-k} (1)

    Kind regards

    \chi \sigma
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  4. #4
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    If I have 11 elements, is easy calculate
    P(X<9) = 1 - P(X>=9)

    I can ?
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  5. #5
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    yes
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  6. #6
    MHF Contributor undefined's Avatar
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    Quote Originally Posted by Apprentice123 View Post
    If I have 11 elements, is easy calculate
    P(X<9) = 1 - P(X>=9)

    I can ?
    In this case,

    P(X<9) = 1 - P(X=9) - P(X=10) - P(X=11)

    (I assume having 11 elements means there are 11 experiments/trials.)
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