exercise:B5d3580c91: 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 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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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 | <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 | of <math>g(t)</math>, the generating functions for | ||
<ul><li> <math>-X</math>. | <ul style="list-style-type:lower-alpha"><li> <math>-X</math>. | ||
</li> | </li> | ||
<li> <math>X + 1</math>. | <li> <math>X + 1</math>. | ||
Latest revision as of 23:44, 14 June 2024
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].