Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
is a binomial random variable. Notation-wise, X_bar_n ~ Binomial(n=493472, p) The binomial probability P(X_bar_n=251527 | n=493472, p) is given by the following well-known Probability Mass Function (PMF): The binomial probability of encountering 251527 boys in a sample of size 493472 (Image by