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October 16th, 2009, 03:31 PM   #1
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Can you find the solution?

I've come up with a problem that I think is fairly difficult. If you can solve it, I will be quite pleased. It goes as follows.

An occurrence occurs at a rate r. How many occurrences must occur for the average of the occurrences to be within +/-S n% of the time.
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October 16th, 2009, 11:27 PM   #2
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Re: Can you find the solution?

What kind of occurences? Are you choosing numbers?
What happens the other 1-r? Or are those ignored? If they are ignored, what do you mean "average of the occurences""?

It seems like it might be an interesting problem. But you've stated it really vaguely.
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October 19th, 2009, 08:30 AM   #3
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Re: Can you find the solution?

It's just an occurrence, either true or false, that is true r% of the time. If this occurrence is only repeated once and then analyzed, it's going to follow a normal distribution with an easy to calculate variance and standard deviation (which would dictate what percentage would occur within +/-S.) However, in the case of the problem, the occurrence is repeated many times, averaged, and then analyzed. For instance, say you repeat the occurrence 100 times and average and plot the result. You do this an infinite number of times. You'll come up with a different variance and standard deviation (lower than before because of the law of large numbers.)

I hope this cleared it up. I did ask it somewhat confusingly.
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