exercise:669d47f3c3: Difference between revisions
From Stochiki
(Created page with "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. '''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}}") |
No edit summary |
||
| Line 1: | Line 1: | ||
A computing center has 3 processors that receive <math> | 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. | ||
'''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}} | ||
Revision as of 23:55, 23 June 2024
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.
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.