Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
P(X_bar_n=x | p) This is the easiest of the three to calculate. It is the forward binomial probability that can be computed using the well-known formula for the probability distribution of a binomial random variable: P(X_bar_n=x) where X_bar_n ~ Binomial(n,p) (Image by Author) P(p) P(p) is the