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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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View Full Document 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.
a. How many errors are expected in the next 100 pages of Dr. Ward’s book?
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This note was uploaded on 02/28/2012 for the course STAT 416 taught by Professor Staff during the Fall '08 term at Purdue University.
 Fall '08
 Staff
 Probability

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