Re: the long run and infinity
I suggest posting this question in the probability forum, they would give you actual formulas and stuff for calculating these things.
I took some pretty intensive statistics courses in college and we learned all about this stuff.
The questions were things along the lines of
"A factory is filling up juice boxes to 5 oz and want to never fill up the boxes to less than 4.95 and more than 5.05, how many boxes would you need to sample to say with 99% certaintity that the boxes are truely in this range"
and varients etc.
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