problemset34

# problemset34 - STAT/MA 416 Problem Set 34 Name 1 Suppose...

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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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problemset34 - STAT/MA 416 Problem Set 34 Name 1 Suppose...

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