SOLUTION: If there are 100 typographical errors randomly distributed in a 500-page manuscript, find the probability that a given page contains exactly 3 errors. (Please round to three decima

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Question 1181903: If there are 100 typographical errors randomly distributed in a 500-page manuscript, find the probability that a given page contains exactly 3 errors. (Please round to three decimal places)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
There are 0.2 errors per page as the mean.
That is the Poisson parameter (this kind of problem is Poisson--mass function, counts proportional to number of trials, theoretical possibility of infinite numbers of errors per page)
p(3)=e^(-0.2)*0.2^3/3!
=0.0011 or 0.001
Also 2ndVARSpoissonpdf(0.2,3) ENTER