Law Of Large Numbers, Central Limit Theorem, Normal Distribution, Random Variable, Jacob Bernoulli.
probability in the previous case. In the previous case you were seeking P(X_bar_n|n,μ ,σ²), i.e. the probability of X_bar_n given n, μ, and σ². Here you are (effectively) seeking P(μ|n,X_bar_n,σ²) i.e. the probability of μ given n, X_bar_n, and σ². P(μ|n,X_bar_n, σ²) or in short P(μ|X_bar_n), is