Revision as of 03:30, 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 discrete random variable with values in <math>\{0,1,2,\ldots,n\}</math> and moment generating function <math>g(t)</math>. Find, in terms of <math>g(t)</math>, the generating functions for <ul><li> <math>-X</math>. </li>...")
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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]

Let [math]X[/math] be a discrete random variable with values in

[math]\{0,1,2,\ldots,n\}[/math] and moment generating function [math]g(t)[/math]. Find, in terms of [math]g(t)[/math], the generating functions for

  • [math]-X[/math].
  • [math]X + 1[/math].
  • [math]3X[/math].
  • [math]aX + b[/math].