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Variance of Geometric Distribution Formula

GoVariance in Geometric Distribution Formula

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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{q BD}{p^{2}}

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

Variance of Geometric Distribution Example

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

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

Here is how the Variance of Geometric Distribution equation looks like.

1.1111 = \frac{0.4}{{0.6}^{2}}

1.1111 = \frac{0.4}{{0.6}^{2}}

1.1111 = \frac{0.4}{{0.6}^{2}}

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Variance of Geometric Distribution Solution

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

FIRST Step Consider the formula

σ 2 = \frac{q BD}{p^{2}}

Next Step Substitute values of Variables

∴

σ 2 = \frac{0.4}{{0.6}^{2}}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{0.4}{{0.6}^{2}}

Next Step Evaluate

∴

σ 2 = 1.11111111111111

LAST Step Rounding Answer

∴

σ 2 = 1.1111

Variance of Geometric 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

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 in Geometric Distribution

σ 2 = \frac{1 - p}{p^{2}}

Other formulas in Geometric Distribution category

Go Mean of Geometric Distribution

μ = \frac{1}{p}

Go Standard Deviation of Geometric Distribution

σ = \sqrt{\frac{q BD}{p^{2}}}

Go Mean of Geometric Distribution given Probability of Failure

μ = \frac{1}{1 - q BD}

Go Geometric Distribution

P Geometric = p BD \cdot q^{n Bernoulli}

How to Evaluate Variance of Geometric Distribution?

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

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

FAQs on Variance of Geometric Distribution

What is the formula to find Variance of Geometric Distribution?

The formula of Variance of Geometric Distribution is expressed as Variance of Data = Probability of Failure in Binomial Distribution/(Probability of Success^2). Here is an example- 1.111111 = 0.4/(0.6^2).

How to calculate Variance of Geometric Distribution?

With Probability of Failure in Binomial Distribution (q_BD) & Probability of Success (p) we can find Variance of Geometric Distribution using the formula - Variance of Data = 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=(1-Probability of Success)/(Probability of Success^2)

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Variance of Geometric Distribution Formula

​GoVariance in Geometric Distribution Formula

Variance of Geometric Distribution Example

Variance of Geometric Distribution Solution

Variance of Geometric Distribution Formula Elements

Other Formulas to find Variance of Data

Other formulas in Geometric Distribution category

How to Evaluate Variance of Geometric Distribution?

FAQs on Variance of Geometric Distribution

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GoVariance in Geometric Distribution Formula