FormulaDen.com

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

Variance in Bernoulli 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 = p \cdot (1 - p)

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

Variance in Bernoulli Distribution Example

With values

With units

Only example

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

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

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

0.24 = 0.6 \cdot (1 - 0.6)

0.24 = 0.6 \cdot (1 - 0.6)

0.24 = 0.6 \cdot (1 - 0.6)

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 in Bernoulli Distribution

Variance in Bernoulli Distribution Solution

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

FIRST Step Consider the formula

σ 2 = p \cdot (1 - p)

Next Step Substitute values of Variables

∴

σ 2 = 0.6 \cdot (1 - 0.6)

Next Step Prepare to Evaluate

∴

σ 2 = 0.6 \cdot (1 - 0.6)

LAST Step Evaluate

∴

σ 2 = 0.24

Variance in Bernoulli 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

How to Evaluate Variance in Bernoulli Distribution?

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

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

FAQs on Variance in Bernoulli Distribution

What is the formula to find Variance in Bernoulli Distribution?

The formula of Variance in Bernoulli Distribution is expressed as Variance of Data = Probability of Success*(1-Probability of Success). Here is an example- 0.24 = 0.6*(1-0.6).

How to calculate Variance in Bernoulli Distribution?

With Probability of Success (p) we can find Variance in Bernoulli Distribution using the formula - Variance of Data = Probability of Success*(1-Probability of Success).

Let Others Know

✖

Facebook

Twitter

Copied!