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A computing center has 3 processors that receive <math>15</math> jobs, with the jobs assigned to the processors purely at random so that all of the <math>3^15</math> possible assignments are equally likely.  Find the probability that exactly one processor has no jobs.
A computing center has 3 processors that receive 10  jobs, with the jobs assigned to the processors purely at random so that all of the 3<sup>10</sup> possible assignments are equally likely.  Find the probability that exactly one processor has no jobs.
 
<ol style="list-style-type:upper-alpha">
<li>0.02</li>
<li>0.03</li>
<li>0.04 </li>
<li>0.05</li>
<li>0.06</li>
</ol>


'''References'''
'''References'''


{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}}

Latest revision as of 00:34, 24 June 2024

A computing center has 3 processors that receive 10 jobs, with the jobs assigned to the processors purely at random so that all of the 310 possible assignments are equally likely. Find the probability that exactly one processor has no jobs.

  1. 0.02
  2. 0.03
  3. 0.04
  4. 0.05
  5. 0.06

References

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.