Variance of Binomial Distribution

What is the Variance of Binomial Distribution?

The variance of the binomial distribution is the disperse the probabilities with respect to its expected value i.e., mean.

What is the Formula of Variance of Binomial Distribution?

The formula for the variance of binomial distribution is given by:

σ2 = npq

where,

  • n is number of trials
  • p is probability of success
  • q is probability of failure

What is the Variance of Binomial Distribution Always Equals to?

The variance of binomial distribution is always less than its mean i.e., expected value.

How Do You Find the Variance of a Binomial Distribution?

To find the variance of a binomial distribution we use the variance of binomial distribution formula i.e., σ2 = npq.



Variance of Binomial Distribution

Variance of Binomial Distribution is a measure of the dispersion of probabilities with respect to the mean value (expected value). This value tells us the typical extent to which sampled observations tend to differ from the expected value.

In this article, we will explore the variance of the binomial distribution, the formula for variance in the binomial distribution, and the derivation of the variance formula for the binomial distribution. We will also solve some examples related to the variance of the binomial distribution. Let’s begin our learning journey on the topic of the Variance of Binomial Distribution.”

Table of Content

  • What is Binomial Distribution?
  • Variance of Binomial Distribution
  • Variance of Binomial Distribution Formula
    • Derviation Of Variance Of Binomial Distribution
  • How to Find the Variance of Binomial Distribution?
  • FAQs

Similar Reads

What is Binomial Distribution?

Binomial Distribution is a probability distribution that describes the number of successes (events with a specified outcome) in a fixed number of independent Bernoulli trials. Each trial has only two possible outcomes, typically labelled “success” and “failure,” and the probability of success (denoted by p) remains constant across all trials....

Variance of Binomial Distribution

In statistics, variance is a measure of how much the values in a data set differ from the mean (average) value. It quantifies the dispersion or spread of the data points around the mean....

Variance of Binomial Distribution Formula

For a binomial distribution, where you have a fixed number of independent trials, each with the same probability of success (denoted by p) and failure (denoted by q = 1 − p), the variance (σ2) is calculated using the formula:...

How to Find the Variance of Binomial Distribution?

The steps to find the variance of binomial distribution are given below:...

Solved Examples on Variance of Binomial Distribution

Example 1: Find the variance of binomial distribution given that the number of trials is 100 and probability of success is 0.7....

Practice Problems on Variance of Binomial Distribution

Q1: Find the variance of binomial distribution given that the number of trials is 500 and probability of success is 0.6....

FAQs on Variance of Binomial Distribution

What is the Variance of Binomial Distribution?...

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