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7.1: Prelude to the Central Limit Theorem
https://stats.libretexts.org/Courses/Los_Angeles_City_College/Introductory_Statistics/07%3A_The_Central_Limit_Theorem/7.01%3A_Prelude_to_the_Central_Limit_Theorem
The central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value...The central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value and well-defined variance, will be approximately normally distributed.

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