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ISyE 2027
Probability with Applications
Fall 2011
R. D. Foley
Homework 3
September 10, 2011
due Friday
For many of these problems, put your answer in both the form of a nice
expression (like
(
10
3
)
) and a numerical answer. To compute the numerical
answer, Maple may of some help. There are a variety of tutorials about Maple
on the web. This one looked pretty good to me:
http://www.math.ubc.ca/
~
israel/m210/index.html
and scroll down to the lessons. Lesson one shows how to get rid of the 2D
input. The 2D input is the default, but I think most users, including me, dislike
it. The maple help command is fairly useful. Ask for help on “factorial,”
“binomial,” and “evalf”.
1. Please read the instructions carefully, before doing this problem. After
reading and understanding this problem, ﬂip two coins: a nickel and a
quarter. If the nickel came up heads, answer Question A. If the nickel
came up tails, answer question B.
Question A: Did the quarter come up heads?
Question B: Have you cheated on a test at Georgia Tech?
Your answer to this problem will be simply one word: either “yes” or
“no”.
Do not tell me what happened with the nickel or quarter. I do not want
to know which question you’re answering so that I have no way of knowing
whether you have cheated or not. There is no trick involved. Please do not
retoss the coins if you didn’t get the outcome that you desired. Please ﬂip the
coins, and answer the appropriate question honestly.
2. How many different ways could 10 riders be assigned to 10 horses as
suming one rider per horse?
3. Suppose ten people are coming for Thanksgiving dinner. (a) Suppose
there is a traditional table with 10 chairs around the table, which in
cludes a chair at the head of the table? How many seating arrangements
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 Fall '08
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