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Variance in Geometric Distribution Formula

GoVariance of 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{1 - p}{p^{2}}

σ² - Variance of Data?p - Probability of Success?

Variance in Geometric Distribution Example

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

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

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

1.1111 = \frac{1 - 0.6}{{0.6}^{2}}

1.1111 = \frac{1 - 0.6}{{0.6}^{2}}

1.1111 = \frac{1 - 0.6}{{0.6}^{2}}

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Variance in Geometric Distribution Solution

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

FIRST Step Consider the formula

σ 2 = \frac{1 - p}{p^{2}}

Next Step Substitute values of Variables

∴

σ 2 = \frac{1 - 0.6}{{0.6}^{2}}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{1 - 0.6}{{0.6}^{2}}

Next Step Evaluate

∴

σ 2 = 1.11111111111111

LAST Step Rounding Answer

∴

σ 2 = 1.1111

Variance in 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 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 Geometric Distribution

σ 2 = \frac{q BD}{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 in Geometric Distribution?

Variance in Geometric Distribution evaluator uses Variance of Data = (1-Probability of Success)/(Probability of Success^2) to evaluate the Variance of Data, Variance in Geometric Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following geometric distribution, from its population mean or sample mean. Variance of Data is denoted by σ² symbol.

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

FAQs on Variance in Geometric Distribution

What is the formula to find Variance in Geometric Distribution?

The formula of Variance in Geometric Distribution is expressed as Variance of Data = (1-Probability of Success)/(Probability of Success^2). Here is an example- 1.111111 = (1-0.6)/(0.6^2).

How to calculate Variance in Geometric Distribution?

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

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