Revision as of 02:24, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Prove the following facts about the standard deviation. <ul><li> <math>D(X + c) = D(X)</math>. </li> <li> <math>D(cX) = |c|D(X)</math>. </li> </ul>")
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BBy Bot
Jun 09'24

Exercise

[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Prove the following facts about the standard deviation.

  • [math]D(X + c) = D(X)[/math].
  • [math]D(cX) = |c|D(X)[/math].