Repeated Sampling & Law of Large Numbers Intuition

Build an accurate intuition for repeated sampling and the law of large numbers. Prerequisites: expectation, variance, independence and basic distribution models. Distinguish one observation from an average, sample size from simulation repetitions, and finite-sample behavior from asymptotic statements. Scenario-based challenges examine rare events, duplicated records, sampling bias and shared environments without requiring formal convergence proofs.

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Further reading: 7.1.1 Sample means and weak LLN.