exercise:3789599293: Difference between revisions
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(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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Prove the following facts about the standard deviation. | |||
<ul style="list-style-type:lower-alpha"><li> <math>D(X + c) = D(X)</math>. | |||
<ul><li> <math>D(X + c) = D(X)</math>. | |||
</li> | </li> | ||
<li> <math>D(cX) = |c|D(X)</math>. | <li> <math>D(cX) = |c|D(X)</math>. | ||
</li> | </li> | ||
</ul> | </ul> | ||
Latest revision as of 22:02, 14 June 2024
Prove the following facts about the standard deviation.
- [math]D(X + c) = D(X)[/math].
- [math]D(cX) = |c|D(X)[/math].