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Math Help - Binomial Probability

  1. #1
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    Binomial Probability

    Hi there,

    I am having a few problems with this topic. I am actually not sure if it is on binomial.

    I have independent trials - 50. I know the probability of pass and fail.

    What I need to find is the probability of AT LEAST a certain number passing.

    I cannot get my head around it - I have finally decided it is best to use the nCx formula, but it is impractical to calculate over 30 values individually and sum them.

    What is the faster way?

    Thanks!
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  2. #2
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    Re: Binomial Probability

    Quote Originally Posted by SamanthaJane View Post
    Hi there,
    I am having a few problems with this topic. I am actually not sure if it is on binomial. I have independent trials - 50. I know the probability of pass and fail.
    What I need to find is the probability of AT LEAST a certain number passing.

    If we have N independent trials each of which has probability p and 0<k\le N
    the probability of AT LEAST ksuccesses is:

    \sum\limits_{k = 1}^N {\binom{N}{k}p^k \left( {1 - p} \right)^{N - k} }
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  3. #3
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    Re: Binomial Probability

    Thanks for the response

    This is what I have already done, excluding the sum.

    I have gotten the answer to the nCx - but how do I go about the sum? I feel like I need to look back at my work on series' - ?
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