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Variance of Scalar Multiple of Random Variable Formula

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Variance of Scalar Multiple of Random Variable is the variance calculated when a random variable is multiplied by a constant scalar. Check FAQs

V cX = (c^{2}) \cdot σ 2 Random X

V_cX - Variance of Scalar Multiple of Random Variable?c - Scalar Value c?σ²Random X - Variance of Random Variable X?

Variance of Scalar Multiple of Random Variable Example

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Here is how the Variance of Scalar Multiple of Random Variable equation looks like with Values.

Here is how the Variance of Scalar Multiple of Random Variable equation looks like with Units.

Here is how the Variance of Scalar Multiple of Random Variable equation looks like.

36 = (2^{2}) \cdot 9

36 = (2^{2}) \cdot 9

36 = (2^{2}) \cdot 9

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Variance of Scalar Multiple of Random Variable Solution

Follow our step by step solution on how to calculate Variance of Scalar Multiple of Random Variable?

FIRST Step Consider the formula

V cX = (c^{2}) \cdot σ 2 Random X

Next Step Substitute values of Variables

∴

V cX = (2^{2}) \cdot 9

Next Step Prepare to Evaluate

∴

V cX = (2^{2}) \cdot 9

LAST Step Evaluate

∴

V cX = 36

Variance of Scalar Multiple of Random Variable Formula Elements

Variables

Variance of Scalar Multiple of Random Variable

Variance of Scalar Multiple of Random Variable is the variance calculated when a random variable is multiplied by a constant scalar.

Symbol: V_cX

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Scalar Multiple of Random Variable

Scalar Value c

Scalar Value c represents a constant number used for scaling or multiplying random variables.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Scalar Value c

Variance of Random Variable X

Variance of Random Variable X is the measure of variability or dispersion of random variable X.

Symbol: σ²Random X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Random Variable X

Other formulas in Variance category

Go Variance of Sum of Independent Random Variables

σ 2 Sum = σ 2 Random X + σ 2 Random Y

Go Variance of Data

σ 2 = (\frac{Σx 2}{N}) - (μ^{2})

Go Variance given Standard Deviation

σ 2 = {(σ)}^{2}

Go Pooled Variance

V Pooled = \frac{((N X - 1) \cdot σ 2 X) + ((N Y - 1) \cdot σ 2 Y)}{N X + N Y - 2}

How to Evaluate Variance of Scalar Multiple of Random Variable?

Variance of Scalar Multiple of Random Variable evaluator uses Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X to evaluate the Variance of Scalar Multiple of Random Variable, Variance of Scalar Multiple of Random Variable formula is defined as the variance calculated when a random variable is multiplied by a constant scalar. Variance of Scalar Multiple of Random Variable is denoted by V_cX symbol.

How to evaluate Variance of Scalar Multiple of Random Variable using this online evaluator? To use this online evaluator for Variance of Scalar Multiple of Random Variable, enter Scalar Value c (c) & Variance of Random Variable X (σ²Random X) and hit the calculate button.

FAQs on Variance of Scalar Multiple of Random Variable

What is the formula to find Variance of Scalar Multiple of Random Variable?

The formula of Variance of Scalar Multiple of Random Variable is expressed as Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X. Here is an example- 36 = (2^2)*9.

How to calculate Variance of Scalar Multiple of Random Variable?

With Scalar Value c (c) & Variance of Random Variable X (σ²Random X) we can find Variance of Scalar Multiple of Random Variable using the formula - Variance of Scalar Multiple of Random Variable = (Scalar Value c^2)*Variance of Random Variable X.

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Variance of Scalar Multiple of Random Variable Formula

Variance of Scalar Multiple of Random Variable Example

Variance of Scalar Multiple of Random Variable Solution

Variance of Scalar Multiple of Random Variable Formula Elements

Other formulas in Variance category

How to Evaluate Variance of Scalar Multiple of Random Variable?

FAQs on Variance of Scalar Multiple of Random Variable

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