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Variance in Exponential 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}{λ^{2}}

σ² - Variance of Data?λ - Population Parameter of Exponential Distribution?

Variance in Exponential Distribution Example

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

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

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

0.16 = \frac{1}{{2.5}^{2}}

0.16 = \frac{1}{{2.5}^{2}}

0.16 = \frac{1}{{2.5}^{2}}

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Variance in Exponential Distribution Solution

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

FIRST Step Consider the formula

σ 2 = \frac{1}{λ^{2}}

Next Step Substitute values of Variables

∴

σ 2 = \frac{1}{{2.5}^{2}}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{1}{{2.5}^{2}}

LAST Step Evaluate

∴

σ 2 = 0.16

Variance in Exponential 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

Population Parameter of Exponential Distribution

Population Parameter of Exponential Distribution is the value of the real number that used to define the exponential distribution function or the poisson distribution function.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Population Parameter of Exponential Distribution

Other formulas in Exponential Distribution category

Go Exponential Distribution

P (Atleast Two) = 1 - P ((A∪B∪C)') - P (Exactly One)

How to Evaluate Variance in Exponential Distribution?

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

How to evaluate Variance in Exponential Distribution using this online evaluator? To use this online evaluator for Variance in Exponential Distribution, enter Population Parameter of Exponential Distribution (λ) and hit the calculate button.

FAQs on Variance in Exponential Distribution

What is the formula to find Variance in Exponential Distribution?

The formula of Variance in Exponential Distribution is expressed as Variance of Data = 1/(Population Parameter of Exponential Distribution^2). Here is an example- 0.16 = 1/(2.5^2).

How to calculate Variance in Exponential Distribution?

With Population Parameter of Exponential Distribution (λ) we can find Variance in Exponential Distribution using the formula - Variance of Data = 1/(Population Parameter of Exponential Distribution^2).

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