Revision as of 03:26, 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_1</math> and <math>X_2</math> be independent random variables with common distribution <math display="block"> p_X = \pmatrix{ 0 & 1 & 2 \cr 1/8 & 3/8 & 1/2\cr}. </math> Find the distribution of the sum <math>X_1 + X_2</math>.")
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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_1[/math] and [math]X_2[/math] be independent random variables with common

distribution

[[math]] p_X = \pmatrix{ 0 & 1 & 2 \cr 1/8 & 3/8 & 1/2\cr}. [[/math]]

Find the distribution of the sum [math]X_1 + X_2[/math].