Proof of the Weak Law of Large Numbers (WLLN)
Students frequently conflate Convergence in Probability (WLLN) with Convergence Almost Surely (SLLN). While the WLLN guarantees that the probability of a 'bad' average goes to zero for a fixed, large , it does not guarantee that the sequence of averages will never deviate again as increases further.
Institutional Reference: Applied Statistics
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