FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Variance of Negative Binomial Distribution Formula

GoVariance of Binomial Distribution Formula

GoVariance in Binomial Distribution Formula

Fx Copy

LaTeX Copy

Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean. Check FAQs

σ 2 = \frac{N Success \cdot q BD}{p^{2}}

σ² - Variance of Data?N_Success - Number of Success?q_BD - Probability of Failure in Binomial Distribution?p - Probability of Success?

Variance of Negative Binomial Distribution Example

With values

With units

Only example

Here is how the Variance of Negative Binomial Distribution equation looks like with Values.

Here is how the Variance of Negative Binomial Distribution equation looks like with Units.

Here is how the Variance of Negative Binomial Distribution equation looks like.

5.5556 = \frac{5 \cdot 0.4}{{0.6}^{2}}

5.5556 = \frac{5 \cdot 0.4}{{0.6}^{2}}

5.5556 = \frac{5 \cdot 0.4}{{0.6}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Probability and Disribution » Category

Distribution » fx Variance of Negative Binomial Distribution

Variance of Negative Binomial Distribution Solution

Follow our step by step solution on how to calculate Variance of Negative Binomial Distribution?

FIRST Step Consider the formula

σ 2 = \frac{N Success \cdot q BD}{p^{2}}

Next Step Substitute values of Variables

∴

σ 2 = \frac{5 \cdot 0.4}{{0.6}^{2}}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{5 \cdot 0.4}{{0.6}^{2}}

Next Step Evaluate

∴

σ 2 = 5.55555555555556

LAST Step Rounding Answer

∴

σ 2 = 5.5556

Variance of Negative Binomial Distribution Formula Elements

Variables

Variance of Data

Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Data

Number of Success

Number of Success is the number of times that a specific outcome which is set as the success of the event occurs in a fixed number of independent Bernoulli trials.

Symbol: N_Success

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Success

Probability of Failure in Binomial Distribution

Probability of Failure in Binomial Distribution is the probability of a specific outcome not occurring in a single trial of a fixed number of independent Bernoulli trials.

Symbol: q_BD

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Probability of Failure in Binomial Distribution

Probability of Success

Probability of Success is the probability of a specific outcome occurring in a single trial of a fixed number of independent Bernoulli trials.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Probability of Success

Other Formulas to find Variance of Data

Go Variance of Binomial Distribution

σ 2 = N Trials \cdot p \cdot q BD

Go Variance in Binomial Distribution

σ 2 = N Trials \cdot p \cdot (1 - p)

Other formulas in Binomial Distribution category

Go Mean of Binomial Distribution

μ = N Trials \cdot p

Go Standard Deviation of Binomial Distribution

σ = \sqrt{N Trials \cdot p \cdot q BD}

Go Mean of Negative Binomial Distribution

μ = \frac{N Success \cdot q BD}{p}

Go Standard Deviation of Negative Binomial Distribution

σ = \frac{\sqrt{N Success \cdot q BD}}{p}

How to Evaluate Variance of Negative Binomial Distribution?

Variance of Negative Binomial Distribution evaluator uses Variance of Data = (Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2) to evaluate the Variance of Data, Variance of Negative Binomial Distribution formula is defined as the expectation of the squared deviation of the random variable that follows Negative Binomial distribution, from its mean. Variance of Data is denoted by σ² symbol.

How to evaluate Variance of Negative Binomial Distribution using this online evaluator? To use this online evaluator for Variance of Negative Binomial Distribution, enter Number of Success (N_Success), Probability of Failure in Binomial Distribution (q_BD) & Probability of Success (p) and hit the calculate button.

FAQs on Variance of Negative Binomial Distribution

What is the formula to find Variance of Negative Binomial Distribution?

The formula of Variance of Negative Binomial Distribution is expressed as Variance of Data = (Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2). Here is an example- 5.555556 = (5*0.4)/(0.6^2).

How to calculate Variance of Negative Binomial Distribution?

With Number of Success (N_Success), Probability of Failure in Binomial Distribution (q_BD) & Probability of Success (p) we can find Variance of Negative Binomial Distribution using the formula - Variance of Data = (Number of Success*Probability of Failure in Binomial Distribution)/(Probability of Success^2).

What are the other ways to Calculate Variance of Data?

Here are the different ways to Calculate Variance of Data-

Variance of Data=Number of Trials*Probability of Success*Probability of Failure in Binomial Distribution
Variance of Data=Number of Trials*Probability of Success*(1-Probability of Success)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Variance of Negative Binomial Distribution Formula

​GoVariance of Binomial Distribution Formula

​GoVariance in Binomial Distribution Formula

Variance of Negative Binomial Distribution Example

Variance of Negative Binomial Distribution Solution

Variance of Negative Binomial Distribution Formula Elements

Other Formulas to find Variance of Data

Other formulas in Binomial Distribution category

How to Evaluate Variance of Negative Binomial Distribution?

FAQs on Variance of Negative Binomial Distribution

Variable Name

GoVariance of Binomial Distribution Formula

GoVariance in Binomial Distribution Formula