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Question 439:

I have a jar containing 100,000 marbles. There are 6 colors of marbles in the jar and they are present at frequencies of 2%, 2%, 4%, 10%, 57%, 25%. How do I determine my precision in estimating the true color frequencies in my jar at various sample sizes (I can't replace marbles)? For example, If I remove 500 marbles from the jar, what kind of precision will I have in estimating the frequency of a color that is actually present at 2%?

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