exercise:88b71263c0: 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>x</math> and <math>y</math> be chosen at random from the interval <math>[0,1]</math>. Which pairs of the following events are independent? <ul><li> <math>x > 1/3</math>. </li> <li> <math>y > 2/3</math>. </li> <li> <math>x > y</mat...")
 
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<div class="d-none"><math>
Let <math>x</math> and <math>y</math> be chosen at random from the interval <math>[0,1]</math>.  Which
\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>x</math> and <math>y</math> be chosen at random from the interval <math>[0,1]</math>.  Which
pairs of the following events are independent?
pairs of the following events are independent?
<ul><li> <math>x  >  1/3</math>.
<ul style="list-style-type:lower-alpha"><li> <math>x  >  1/3</math>.
</li>
</li>
<li> <math>y  >  2/3</math>.
<li> <math>y  >  2/3</math>.

Latest revision as of 00:36, 14 June 2024

Let [math]x[/math] and [math]y[/math] be chosen at random from the interval [math][0,1][/math]. Which pairs of the following events are independent?

  • [math]x \gt 1/3[/math].
  • [math]y \gt 2/3[/math].
  • [math]x \gt y[/math].
  • [math]x + y \lt 1[/math].