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Math Help - how relate population to tail?

  1. #1
    ggk
    ggk is offline
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    how relate population to tail?

    Hi, I'd really appreciate if someone could help with the following question that's been bugging me for months...

    If I'm working with a zero-mean Gaussian discrete random variable with a standard deviation (sigma) of 1, and I know the population, how far into the tail of this distribution must I go to capture 99.7% (e.g. 3-sigma) of the population?

    I know higher populations reach deeper into the tail, I just don't know how to mathematically relate the two.

    BR, -GGK
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  2. #2
    ggk
    ggk is offline
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    re-state the question: population vs peak-peak value

    Sorry, the above question is incorrect -- let me re-state the question:

    I'm working with a zero-mean Gaussian discrete random variable with a standard deviation (sigma) of 1.

    If I know the population size, what is the peak-to-peak value of the distribution with 3-sigma (99.7%) confidence?

    BR, -GGK
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