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Standard Deviation of Geometric Distribution Formula

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Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean. Check FAQs

σ = \sqrt{\frac{q BD}{p^{2}}}

σ - Standard Deviation in Normal Distribution?q_BD - Probability of Failure in Binomial Distribution?p - Probability of Success?

Standard Deviation of Geometric Distribution Example

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

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

Here is how the Standard Deviation of Geometric Distribution equation looks like.

1.0541 = \sqrt{\frac{0.4}{{0.6}^{2}}}

1.0541 = \sqrt{\frac{0.4}{{0.6}^{2}}}

1.0541 = \sqrt{\frac{0.4}{{0.6}^{2}}}

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Standard Deviation of Geometric Distribution Solution

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

FIRST Step Consider the formula

σ = \sqrt{\frac{q BD}{p^{2}}}

Next Step Substitute values of Variables

∴

σ = \sqrt{\frac{0.4}{{0.6}^{2}}}

Next Step Prepare to Evaluate

∴

σ = \sqrt{\frac{0.4}{{0.6}^{2}}}

Next Step Evaluate

∴

σ = 1.05409255338946

LAST Step Rounding Answer

∴

σ = 1.0541

Standard Deviation of Geometric Distribution Formula Elements

Variables

Functions

Standard Deviation in Normal Distribution

Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation in Normal Distribution

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Geometric Distribution category

Go Mean of Geometric Distribution

μ = \frac{1}{p}

Go Variance of Geometric Distribution

σ 2 = \frac{q BD}{p^{2}}

Go Mean of Geometric Distribution given Probability of Failure

μ = \frac{1}{1 - q BD}

Go Variance in Geometric Distribution

σ 2 = \frac{1 - p}{p^{2}}

How to Evaluate Standard Deviation of Geometric Distribution?

Standard Deviation of Geometric Distribution evaluator uses Standard Deviation in Normal Distribution = sqrt(Probability of Failure in Binomial Distribution/(Probability of Success^2)) to evaluate the Standard Deviation in Normal Distribution, Standard Deviation of Geometric Distribution formula is defined as the square root of expectation of the squared deviation of the random variable that follows Geometric distribution, from its mean. Standard Deviation in Normal Distribution is denoted by σ symbol.

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

FAQs on Standard Deviation of Geometric Distribution

What is the formula to find Standard Deviation of Geometric Distribution?

The formula of Standard Deviation of Geometric Distribution is expressed as Standard Deviation in Normal Distribution = sqrt(Probability of Failure in Binomial Distribution/(Probability of Success^2)). Here is an example- 1.054093 = sqrt(0.4/(0.6^2)).

How to calculate Standard Deviation of Geometric Distribution?

With Probability of Failure in Binomial Distribution (q_BD) & Probability of Success (p) we can find Standard Deviation of Geometric Distribution using the formula - Standard Deviation in Normal Distribution = sqrt(Probability of Failure in Binomial Distribution/(Probability of Success^2)). This formula also uses Square Root (sqrt) function(s).

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Standard Deviation of Geometric Distribution Formula

Standard Deviation of Geometric Distribution Example

Standard Deviation of Geometric Distribution Solution

Standard Deviation of Geometric Distribution Formula Elements

Other formulas in Geometric Distribution category

How to Evaluate Standard Deviation of Geometric Distribution?

FAQs on Standard Deviation of Geometric Distribution

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