Revision as of 02:26, 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> Consider the following two experiments: the first has outcome <math>X</math> taking on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome <math>Y</math> taking on the value 3 with probability 1/4 and 4...")
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]
Consider the following two experiments: the first has outcome [math]X[/math] taking
on the values 0, 1, and 2 with equal probabilities; the second results in an (independent) outcome [math]Y[/math] taking on the value 3 with probability 1/4 and 4 with probability 3/4. Find the distribution of
- [math]Y + X[/math].
- [math]Y - X[/math].