What you provide
What you provide
- Trial count, using the same scenario as the other inputs
- Success probability, using the same scenario as the other inputs
MATH / PROBABILITY DISTRIBUTIONS
Binomial Mean and Variance Calculator
Calculate the expected success count and variance of a binomial random variable. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate the expected success count and variance of a binomial random variable. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
E[X]=np
What you receive
What you receive
- Expected successes from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Trials are independent, binary, and share the same success probability.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors