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Statistics / Statistics for Engineers and Scientists 4 / Chapter 2.6 / Problem 26E

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

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If X is a random variable, prove that

Chapter 2, Problem 26E

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QUESTION:

If X is a random variable, prove that \(\operatorname{Cov}(X, X)=\sigma_{X}^{2}\).

Equation Transcription:

$Cov(X,X)={\sigma{}}_{X}^{2}$

Text Transcription:

Cov(X,X) = Sigma sub X^2

Questions & Answers

QUESTION:

If X is a random variable, prove that \(\operatorname{Cov}(X, X)=\sigma_{X}^{2}\).

Equation Transcription:

$Cov(X,X)={\sigma{}}_{X}^{2}$

Text Transcription:

Cov(X,X) = Sigma sub X^2

ANSWER:

Solution :

Step 1 of 1:

Let X is a random variable.

Our goal is :

We need to prove that ${Cov(X,X)=\sigma{}}_{X}^{2}$ .

Now we need to prove that ${Cov(X,X)=\sigma{}}_{X}%$

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