What does the Strong Law of Large Numbers (SLLN) assert about the sequence of sample averages?
Answer
The sequence will eventually settle down and stay within any arbitrarily small distance $\epsilon$ of $\mu$ with probability one.
The Strong Law of Large Numbers asserts convergence 'almost surely,' meaning the probability that the sequence of sample averages will eventually settle down and remain within any arbitrarily small distance $\epsilon$ of $\mu$ is equal to one.
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