Binomial Variance Calculator

The binomial variance calculator computes variance for the binomial distribution based on the probability of success and trials.

Calculation:

How to Use the Binomial Variance Calculator?

  1. First, input the probability of success (p) and the trials (n).
  2. Press the 'Calculate' button.
  3. As a result, the tool returns the variance (σ2) and calculation steps.

How to Calculate?

The variance for the binomial distribution is calculated using the following formula:

σ2 = n × p × (1−p)

Where,
n = Number of Trials in the Experiment,
p = Probability of Success.

Let's take an example.

Example:

Suppose, the probability of success is 0.34 and the number of trials is 23. Calculate the binomial variance for the given values.

Solution:

Here,
p = 0.34,
n = 23.

Now put values in the formula.

σ2 = 23 × 0.34 × (1 - 0.34)

σ2 = 7.82 × 0.66

σ2 = 5.161