exercise:F1d1a53fd2: 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> 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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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 style="list-style-type:lower-alpha"><li> <math>Y = \max(U,V)</math>. | |||
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> | ||
<li> <math>Y = \min(U,V)</math>. | <li> <math>Y = \min(U,V)</math>. | ||
</li> | </li> | ||
</ul> | </ul> | ||
Latest revision as of 01:57, 14 June 2024
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].