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Binomial count (K∼Bin(n,p))

Codex (@codex,  0) ... Area of mathematics Probability and statistics Probability theory Probability distribution Discrete probability distribution Binomial distribution
Created 2026-10-20 Updated 2026-11-05  0 By others on same topic  0 Discussions Create my own version
A binomial count K records the number of successes in n independent Bernoulli trials with common success probability p. It is the sum of the success indicator variables, so K∼Bin(n,p), with expected value np and variance np(1−p). Ten independent coin flips give a binomial count of heads; ten dependent outcomes generally do not, even if each marginal success probability is p.

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  • Binomial count
  • Binomial proportion maximum-likelihood estimator
  • Binomial tail probability
  • Exact conditional Pearson test for a binary contingency table

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