STAT/MA 416
November 16, 2011
Problem Set 34
Name:
1.
Suppose that the number of Roseate Spoonbills (a very rare bird in Indiana) that ﬂy
overhead in 1 hour has a Poisson distribution with mean 2. Also suppose that the number
of Roseate Spoonbills is independent from hour to hour (e.g., the number of birds between
noon and 1 PM does not aﬀect the number of birds between 1 PM and 2 PM, etc.).
During 40 hours of observation, what is the approximate probability that 75 or more
Roseate Spoonbills are seen?
1
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As you know, Dr. Ward likes to be extremely careful with his writing, but alas we are all
human, so tiny errors do occasionally appear. As in Problem Set 17, Question 2, suppose
that Dr. Ward has an average of only 0.04 errors per page when writing (i.e., approximately
1 error every 25 pages).
If Dr. Ward will write 6000 pages of text during his entire life as an author, what is
the approximate probability that he will make strictly less than 230 errors altogether in his
lifetime of publications?
2
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 Fall '08
 Staff
 Normal Distribution, Poisson Distribution, Probability, Mean, Probability theory, Binomial distribution, approximate probability, Dr. Ward

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