exercise:5b11252577: 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> A computing center has 3 processors that receive <math>n</math> jobs, with the jobs assigned to the processors purely at random so that all of the <math>3^n</math> possible assignments are equally likely. Find the probability that exactly one pr...")
 
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<div class="d-none"><math>
A computing center has 3 processors that receive <math>n</math> jobs,
\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> A computing center has 3 processors that receive <math>n</math> jobs,
with the jobs assigned to the processors purely at random so that all of the <math>3^n</math>  
with the jobs assigned to the processors purely at random so that all of the <math>3^n</math>  
possible assignments are equally likely.  Find the probability that exactly one
possible assignments are equally likely.  Find the probability that exactly one
processor has no jobs.
processor has no jobs.

Latest revision as of 22:45, 12 June 2024

A computing center has 3 processors that receive [math]n[/math] jobs, with the jobs assigned to the processors purely at random so that all of the [math]3^n[/math] possible assignments are equally likely. Find the probability that exactly one processor has no jobs.