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    Re: Lunars using Bennett
    From: Bill Noyce
    Date: 2008 Apr 7, 09:34 -0400

    >  If I've understood correctly, the standard deviation should
    >  approximate 1.22 (0.5xsqrt6)."
    
    As Frank explained, you need to multiply by the SD of the input
    numbers, not their maximum possible error.
    
    > The Wikipedia article was also interesting, if potentially confusing.
    > I was struck by:
    > "As expected of a random walk with equally probable outcomes, the
    > expected value will come out to zero."
    > which seems to imply that, relating this back to our example, that the
    > equally probable average difference of 0.5 (between a value rounded up
    > or down) will ... tend to cancel themselves out!  No doubt I have
    > misunderstood.
    
    This simply means that the probability of the sum being too large by
    some amount is equal to the probability of the sum being too small
    by the same amount.  You can visualize the results of a bunch of
    experiments forming a bell curve.  Saying the expected value is zero
    just means that's where the middle of the bell curve falls -- but it doesn't
    say anything about how wide the curve is, nor how far its tails extend.
    
        -- Bill
    
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