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)

Cumulative Distribution Function (CDF)

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

• Support 𝑥 ∈ {0, ..., 𝑛}
• Probability parameter, 𝑝: 0 ≤ 𝑝 ≤ 1
• Trials parameter, 𝑛: 𝑛 > 0