Binomial Distribution

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Binomial Distribution


The binomial pdf is the probability of 𝑥 successes in 𝑛 independent trials, where 𝑝 is the probability of success in any given trial.

Probability Density Function (PDF)

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Cumulative Distribution Function (CDF)

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where Ix(a, b) is the regularized incomplete Beta function.


Support 𝑥 ∈ {0, ..., 𝑛}

Probability parameter, 𝑝: 0 ≤ 𝑝 ≤ 1

Trials parameter, 𝑛: 𝑛 > 0

Define, Measure, Analyze, Improve, Control

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Simulate, Optimize, Realize

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