Revision as of 02:21, 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> Let <math>U</math>, <math>V</math> be random numbers chosen independently from the interval <math>[0,1]</math>. Find the cumulative distribution and density for the random variables <ul><li> <math>Y = \max(U,V)</math>. </li> <li> <math>Y = \min(U...")
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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]

Let [math]U[/math], [math]V[/math] be random numbers chosen independently from the

interval [math][0,1][/math]. Find the cumulative distribution and density for the random variables

  • [math]Y = \max(U,V)[/math].
  • [math]Y = \min(U,V)[/math].