Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
and in modern notation, suppose X_1, X_2,…,X_n are n i.i.d. random variables that form a random sample of size n. Let X_bar_n be their sum. This time, we’ll assume that X_bar_n has some unknown probability distribution. Let μ be the mean and σ² be the variance of the population from which the