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problemset17 - STAT/MA 416 Problem Set 17 Name 1 Hungry...

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STAT/MA 416 September 30, 2011 Problem Set 17 Name: 1. Hungry customers. At a certain hot dog stand, during the working day, the number of people who arrive to eat is Poisson, with an average of 1 person every 2 minutes. a. What is the probability that exactly 3 people arrive during the next 10 minutes? b. What is the probability that nobody arrives during the next 10 minutes? c. What is the probability that at least 3 people arrive during the next 10 minutes? 1
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2. Errors in Dr. Ward’s book. Dr. Ward has carefully edited his book, but as all careful readers know, all books have some errors. In the first 250 pages, only 10 errors have been found altogether! (Hooray!) So it is reasonable to guess that the number of errors per page is Poisson, with an average of 10 / 250 = 0 . 04 errors per page. Suppose that the same low rate of errors continues in the second half of the book when it arrives, i.e., a Poisson number of errors, with an average of 10 / 250 = 0 . 04 per page.
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