exercise:Eaec6da0c8: 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> be a random variable with density function <math>f_X</math>, and let <math>Y = X + b</math>, <math>Z = aX</math>, and <math>W = aX + b</math>, where <math>a \ne 0</math>. Find the density functions <math>f_Y</math>, <math>f_Z</...") |
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Let <math>X</math> be a random variable with density function <math>f_X</math>, and let <math>Y = X + b</math>, <math>Z = aX</math>, and <math>W = aX + b</math>, where <math>a \ne 0</math>. Find the density functions <math>f_Y</math>, <math>f_Z</math>, and <math>f_W</math>. (See [[exercise:254cd3aea4 |Exercise]].) | |||
let <math>Y = X + b</math>, <math>Z = aX</math>, and <math>W = aX + b</math>, where <math>a \ne 0</math>. Find the density functions <math>f_Y</math>, <math>f_Z</math>, | |||
and <math>f_W</math>. (See | |||
Latest revision as of 02:05, 14 June 2024
Let [math]X[/math] be a random variable with density function [math]f_X[/math], and let [math]Y = X + b[/math], [math]Z = aX[/math], and [math]W = aX + b[/math], where [math]a \ne 0[/math]. Find the density functions [math]f_Y[/math], [math]f_Z[/math], and [math]f_W[/math]. (See Exercise.)