In plain terms, the Weak Law of Large Numbers states that as the number of experiments approaches infinity, the difference between the sample mean and the distribution mean can be as small as possible.
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Explanation:
We know that the Weak law of large numbers explains that if we increase the sample size larger and larger, then sample mean will be more close to the population mean or distribution mean. For long run process, the distance between the sample mean and the distribution mean can be as small as possible. For small sample sizes, we will get more difference in the sample mean and population mean, and as we increase sample size, the difference will be decrease.
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