Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
sum: The marginal probability P(X_bar_n) expressed as a sum over all p ϵ [0,1] (Image by Author) The summation runs over all p_i in the interval [0, 1]. Since p is continuous over [0,1], we can convert the discrete summation into a smooth integration over [0,1]. While we are at it, we’ll also plug