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> Choose a number <math>U</math> from the interval <math>[0,1]</math> with uniform distribution. Find the cumulative distribution and density for the random variables <ul><li> <math>Y = |U - 1/2|</math>. </li> <li> <math>Y = (U - 1/2)^2</math>. </l...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
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]

Choose a number [math]U[/math] from the interval [math][0,1][/math] with uniform

distribution. Find the cumulative distribution and density for the random variables

  • [math]Y = |U - 1/2|[/math].
  • [math]Y = (U - 1/2)^2[/math].