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Quiz dossier / The Matrix Cookbook

A - One-dimensional Results

Advanced formula selection, assumption checking, and exact application for One-dimensional Results, book pages 64-65.

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Question 1

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Scalar Gaussian essentials

Let x∼N(mu,sigma2)x\sim N(mu,sigma^2).

ValidInvalidStatement
E[x]=muE[x]=mu
Var(x)=sigma2Var(x)=sigma^2
Standardization gives (x−mu)/sigma(x-mu)/sigma
The density normalization is independent of sigmasigma