exercise:5cecde9659: 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> Explain how you can generate a random variable whose cumulative distribution function is </math> F(x) = \left \{ \begin{array}{ll} 0, & \mbox{if <math>x < 0</math>}, \\ x^2, & \mbox{if <math>0 \leq x \leq 1</math>}, \\...")
 
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<div class="d-none"><math>
Explain how you can generate a random variable whose cumulative distribution function is
\newcommand{\NA}{{\rm NA}}
<math display="block">
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}</math></div> Explain how you can generate a random variable whose
cumulative distribution function is
</math>
F(x) =  \left \{ \begin{array}{ll}
F(x) =  \left \{ \begin{array}{ll}
             0, & \mbox{if <math>x  <  0</math>}, \\
             0, & \mbox{if $x  <  0$}, \\
           x^2, & \mbox{if <math>0 \leq x \leq 1</math>}, \\
           x^2, & \mbox{if $0 \leq x \leq 1$}, \\
             1, & \mbox{if <math>x  >  1.</math>}
             1, & \mbox{if $x  >  1.$}
                 \end{array}
                 \end{array}
       \right.
       \right.


<math display="block">
</math>

Latest revision as of 10:00, 19 June 2024

Explain how you can generate a random variable whose cumulative distribution function is

[[math]] F(x) = \left \{ \begin{array}{ll} 0, & \mbox{if $x \lt 0$}, \\ x^2, & \mbox{if $0 \leq x \leq 1$}, \\ 1, & \mbox{if $x \gt 1.$} \end{array} \right. [[/math]]