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The Binomial Distribution

\[ P(X = k) = \binom{n}{k} p^{k} (1-p)^{n-k} \]

The binomial distribution models the number of "successes" (k) in a fixed number (n) of independent trials, each with the same probability (p) of success.

With a binomial process and some empirical data (observations), you can use this calculator to infer the posterior probability distribution of p for the process.