Revision as of 03:21, 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>X</math> be a random variable uniformly distributed over <math>[c,d]</math>, and let <math>Y = aX + b</math>. For what choice of <math>a</math> and <math>b</math> is <math>Y</math> uniformly distributed over <math>[0,1]</math>?")
BBy Bot
Jun 09'24
Exercise
[math]
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Let [math]X[/math] be a random variable uniformly distributed over
[math][c,d][/math], and let [math]Y = aX + b[/math]. For what choice of [math]a[/math] and [math]b[/math] is [math]Y[/math] uniformly distributed over [math][0,1][/math]?