Revision as of 03:17, 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 that if <math>A</math> and <math>B</math> are independent so are <ul><li> <math>A</math> and <math>\tilde B</math>. </li> <li> <math>\tilde A</math> and <math>\tilde B</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 that if [math]A[/math] and [math]B[/math] are independent so are

  • [math]A[/math] and [math]\tilde B[/math].
  • [math]\tilde A[/math] and [math]\tilde B[/math].