Jacob Bernoulli, Binomial Distribution, Probability, Central Limit Theorem, Deep Dives.
a (1 — α)100% confidence interval around the unknown population mean μ. Thus, it turns out you don’t have as much use for the probability: P(np — δ ≤ X_bar_n ≤ np + δ) as you do for the confidence interval for the unknown mean, namely: P(X_bar_n — δ ≤ np ≤ X_bar_n+δ). Notice how subtle but crucial