Statistics & Probability

Binomial Variance

Variance of a binomial distribution.

Formula

Formula
σ2 = n·p·(1−p)

Variables

SymbolDefinitionType & rangeUnitsRole
n trials integer (ℤ) input
p success probability real number (ℝ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Giventrials n = 20, prob p = 0.3
Result4.2
Example 2
Giventrials n = 100, prob p = 0.5
Result25