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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> Suppose we have an urn containing <math>c</math> yellow balls and <math>d</math> green balls. We draw <math>k</math> balls, without replacement, from the urn. Find the expected number of yellow balls drawn. '' Hint'': Write the number of yello...")
 
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<div class="d-none"><math>
Suppose we have an urn containing <math>c</math> yellow balls and <math>d</math> green balls.  We draw <math>k</math> balls, without replacement,
\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> Suppose we have an urn containing <math>c</math>
yellow balls and <math>d</math> green balls.  We draw <math>k</math> balls, without replacement,
from the urn.  Find the expected number of yellow balls drawn.  '' Hint'':  Write the
from the urn.  Find the expected number of yellow balls drawn.  '' Hint'':  Write the
number of yellow balls drawn as the sum of <math>c</math> random variables.
number of yellow balls drawn as the sum of <math>c</math> random variables.

Latest revision as of 18:19, 14 June 2024

Suppose we have an urn containing [math]c[/math] yellow balls and [math]d[/math] green balls. We draw [math]k[/math] balls, without replacement, from the urn. Find the expected number of yellow balls drawn. Hint: Write the number of yellow balls drawn as the sum of [math]c[/math] random variables.