Jacob Bernoulli, Binomial Distribution, Probability, Central Limit Theorem, Deep Dives.
is the difference between the two probabilities. The probability P(X_bar_n — δ ≤ np ≤ X_bar_n+δ) can be expressed as a difference of two cumulative probabilities: (Image by Author) To estimate the two cumulative probabilities, you’ll need a way to estimate the probability P(p|X_bar_n,n) which is