Re: How to determine conf interval about expected number based on probability?

From: Me (hlpme2004_at_hotmail.com)
Date: 08/30/04


Date: 30 Aug 2004 16:08:31 -0700

Richard Ulrich <Rich.Ulrich@comcast.net> wrote:
> Once you get a probability, you can place a CI
> on the theoretical outcomes based on the binomial
> or the Poisson.

Can you be more specific?

Consider that we have the probabilities p[i] for all
possible outcomes [1].

Sticking with strictly random behavior (without regard
for human idiosyncracies), how would we determine the
CI for each outcome for a given confidence level (aka
confidence coefficient)?

-----

[1] Consider the following game. Each player chooses
    5 of 47 numbers. They match their choice against
    5 of 47 numbers selected randomly at a drawing.
    The outcomes are:

    Match Probability
    5 of 5 1 / 1,533,939 = p[5]
    4 of 5 210 / 1,533,939 = p[4]
    3 of 5 8,610 / 1,533,939 = p[3]
    2 of 5 114,800 / 1,533,939 = p[2]
    1 of 5 559,650 / 1,533,939 = p[1]
    0 of 5 850,668 / 1,533,939 = p[0]



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