Law Of Large Numbers, Central Limit Theorem, Normal Distribution, Random Variable, Jacob Bernoulli.
Since each element X_i in the sample is chosen independently and randomly (with replacement) from the population, (X_1, X_2, …, X_n) is a set of n independent, identically distributed (i.i.d.) random variables. Let’s further assume that the population has a mean μ and a finite, positive variance