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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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 23:45, 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.