Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
Author: Edgar Goodaire, Michael Parmenter
Publisher: PEARSON
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Chapter 8.1, Problem 6E
(a)
To determine
That the Russian peasant method applied to the product
(b)
To determine
The Russian peasant method and that every positive integer can be expressed as the sum of at most
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In Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a
random sample of 1014 adults aged 18 and over. One of the questions was, "How many
cups of coffee, if any, do you drink on an average day?" The following table shows the
results obtained (Gallup website, August 6, 2012).
Number of Cups
per Day
0
1
2
3
4 or more
Number of
Responses
365
264
193
91
101
Define a random variable x = number of cups of coffee consumed on an average day. Let
x=4 represent four or more cups.
a. Develop a probability distribution for x.
b. Compute the expected value of x.
c. Compute the variance of x.
d. Suppose we are only interested in adults who drink at least one cup of coffee on an
average day. For this group, let y = the number of cups of coffee consumed on an
average day. Compute the expected value of y and compare it to the expected value of x.
Ten major college football bowl games were played in January 2010, with the University
of Alabama beating the University of Texas 37 to 21 to become the national champion
of college football. The results of the 10 bowl games follow (USA Today, January 8, 2010).
Bowl Game
Score
Outback
Gator
Auburn 38 Northwestern 35
Florida State 33 West Virginia 21
Capital One
Penn State 19 LSU 17
Rose
Ohio State 26 Oregon 17
Florida 51 Cincinnati 24
Sugar
Cotton
Alamo
Fiesta
Mississippi State 21 Oklahoma State 7
Texas Tech 41 Michigan State 31
Boise State 17 TCU 10
Orange
Iowa 24 Georgia Tech 14
Championship
Alabama 37 Texas 21
Predicted
Point Margin
Actual
Point Margin
5
3
1
12
3
-2
14
3
9
-4
-3
4
229740706
14
10
10
16
The predicted winning point margin was based on Las Vegas betting odds approximately
one week before the bowl games were played. For example, Auburn was predicted to beat
Northwestern in the Outback Bowl by five points. The actual winning point margin for Au-
burn was three points. A…
Chapter 8 Solutions
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
Ch. 8.1 - Prob. 1TFQCh. 8.1 - Prob. 2TFQCh. 8.1 - Prob. 3TFQCh. 8.1 - Prob. 4TFQCh. 8.1 - Prob. 5TFQCh. 8.1 - Prob. 6TFQCh. 8.1 - Prob. 7TFQCh. 8.1 - Prob. 8TFQCh. 8.1 - Prob. 9TFQCh. 8.1 - Prob. 10TFQ
Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.2 - Prob. 1TFQCh. 8.2 - Prob. 2TFQCh. 8.2 - Prob. 3TFQCh. 8.2 - Prob. 4TFQCh. 8.2 - Prob. 5TFQCh. 8.2 - Prob. 6TFQCh. 8.2 - Prob. 7TFQCh. 8.2 - Prob. 8TFQCh. 8.2 - Prob. 9TFQCh. 8.2 - Prob. 10TFQCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - 4. Find an algorithm for finding the smallest...Ch. 8.2 - Prob. 5ECh. 8.2 - 6. (a) [BB] Justify the statement made in...Ch. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - The Russian peasant method is used to multiply two...Ch. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.3 - Prob. 1TFQCh. 8.3 - Prob. 2TFQCh. 8.3 - (Answers can be found in the back of the book.)...Ch. 8.3 - Prob. 4TFQCh. 8.3 - Prob. 5TFQCh. 8.3 - (Answers can be found in the back of the book.)
6....Ch. 8.3 - Prob. 7TFQCh. 8.3 - Prob. 8TFQCh. 8.3 - Prob. 9TFQCh. 8.3 - Prob. 10TFQCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Describe a ternary search algorithm, which...Ch. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - [BB] Show the steps involved in the application of...Ch. 8.3 - Prob. 19ECh. 8.3 - The Binary search Algorithm we have presented...Ch. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.4 - (Answers can be found in the back of the book.)
1....Ch. 8.4 - Prob. 2TFQCh. 8.4 - Prob. 3TFQCh. 8.4 - Prob. 4TFQCh. 8.4 - Prob. 5TFQCh. 8.4 - Prob. 6TFQCh. 8.4 - Prob. 7TFQCh. 8.4 - Prob. 8TFQCh. 8.4 - Prob. 9TFQCh. 8.4 - Prob. 10TFQCh. 8.4 - Prob. 1ECh. 8.4 - Use the procedure outlined in this section to list...Ch. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - 8. (a) List, in the lexicographic order, the...Ch. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8 - Describe how Horners Algorithm evaluates f(x) when...Ch. 8 - Prob. 2RECh. 8 - 3. Let be an integer, let , and let be a subset of...Ch. 8 - Suppose we want an algorithm that, for an input of...Ch. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - (Requires a little knowledge of calculus) Show...Ch. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - 12. Sort the list 9,-3,1,0,-4,5,3 into increasing...Ch. 8 - 13. In the lexicographic ordering of all...Ch. 8 - Prob. 14RE
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