Pierre Simon Laplace, Inverse Probability, Central Limit Theorem, Probability, Deep Dives.
probability P(p|X_bar_n=x) (Image by Author) Since x is a known quantity (x is the value of the observed sample mean X_bar_n), the R.H.S. is, in essence, a function of p that is normalized by the definite integral in the denominator. To compute the definite integral in the denominator we use a