Jacob Bernoulli, Binomial Distribution, Probability, Central Limit Theorem, Deep Dives.
large, the odds of the error |X_bar_n/n — p| being smaller than any arbitrarily small positive number ϵ of your choice become incredibly and unfathomably large. Shaped into an equation, his thesis can be expressed as follows: Bernoulli’s theorem (Image by Author) The probabilities P(|X_bar_n/n — p|