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True or false. The law of large numbers states that in the long run, as the sample size or number of trials decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. false true

True or false. The law of large numbers states that in the long run, as the sample size or number of trials decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. false true

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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--- **Understanding the Law of Large Numbers** **Question:** True or false. The law of large numbers states that in the long run, as the sample size or number of trials decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. **Answer Choices:** - O false - O true **Explanation:** The Law of Large Numbers is a fundamental concept in probability theory and statistics. It states that as the sample size or number of trials increases, the relative frequency of outcomes tends to get closer to the theoretical probability of the outcome. This principle is instrumental in making predictions over long periods or large sets of data. Therefore, the correct answer is **false**. The statement inaccurately suggests that the relative frequency gets closer to the theoretical probability as the number of trials decreases, which is contrary to the law's actual principle. ---
Transcribed Image Text:--- **Understanding the Law of Large Numbers** **Question:** True or false. The law of large numbers states that in the long run, as the sample size or number of trials decreases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. **Answer Choices:** - O false - O true **Explanation:** The Law of Large Numbers is a fundamental concept in probability theory and statistics. It states that as the sample size or number of trials increases, the relative frequency of outcomes tends to get closer to the theoretical probability of the outcome. This principle is instrumental in making predictions over long periods or large sets of data. Therefore, the correct answer is **false**. The statement inaccurately suggests that the relative frequency gets closer to the theoretical probability as the number of trials decreases, which is contrary to the law's actual principle. ---
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