Statistical laws remain valid across the ________________?
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Answer: A. Long run
Explanation
Statistical laws depend on the law of large numbers operating over the long run. Random fluctuations in individual events cancel out when observed over extended periods. Predictable aggregate patterns emerge only when statistical laws are evaluated in the long run. The law of large numbers guarantees stable long-term results for random processes. Short-term observations often exhibit high volatility and unpredictable random noise. Statistical inference relies on long-run frequency interpretations of probability.
Insurance companies rely on long-run statistical laws to price policies and maintain solvency. Casinos profit over the long run despite unpredictable outcomes on individual game bets. Economic forecasting models perform better over long horizons than volatile short intervals. Option B refers to data aggregation in a plural sense rather than temporal validity. Option C is overly vague compared to the precise concept of long-run stability. Option D is incorrect because statistical laws break down amid short-term random noise.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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