WEBASSIGN F/EPPS DISCRETE MATHEMATICS
5th Edition
ISBN: 9780357540244
Author: EPP
Publisher: CENGAGE L
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Textbook Question
Chapter 1.3, Problem 1TY
Given sets
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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…
In 2007 the New York Times reported that the median annual household income in the United
States was $55,500 (New York Times website, August, 21, 2013). Answer the following
questions based on the following sample of 14 household incomes for 2013 ($1000s).
49.4
52.2
52.4
53.4
51.3
52.1
48.7
64.5
51.6
46.5
52.9
52.5
52.1
51.2
a.
What is the median household income for the sample data for 2013?
b. Based on the sample data, estimate the percentage change in the median household
income from 2007 to 2013.
c. Compute the first and third quartiles.
Chapter 1 Solutions
WEBASSIGN F/EPPS DISCRETE MATHEMATICS
Ch. 1.1 - A universal statement asserts that a certain...Ch. 1.1 - A conditional statement asserts that if one...Ch. 1.1 - Given a property that may or may not be true, an...Ch. 1.1 - In each of 1—6, fill in the blanks using a...Ch. 1.1 - In each of 1—6, fill in the blanks using a...Ch. 1.1 - In each of 1—6, fill in the blanks using a...Ch. 1.1 - Given any real number, there is a number that is...Ch. 1.1 - The reciprocal of any postive real number is...Ch. 1.1 - Prob. 6ESCh. 1.1 - Rewrite the following statements less formally,...
Ch. 1.1 - For every object J, if J is a square then J has...Ch. 1.1 - For every equation E, if E is quadratic then E has...Ch. 1.1 - Every nonzero real number has a reciropal. All...Ch. 1.1 - Evaery positive number has a positive square root....Ch. 1.1 - There is a real number whose product with every...Ch. 1.1 - There is a real number whose product with ever...Ch. 1.2 - When the elements of a set are given using the...Ch. 1.2 - The symbol R denotes ____.Ch. 1.2 - The symbol Z denotes ______Ch. 1.2 - The symbol Q denotes__Ch. 1.2 - The notation {xP(x)} is read _______Ch. 1.2 - Prob. 6TYCh. 1.2 - Prob. 7TYCh. 1.2 - Given sets A,B, and C, the Cartesian production...Ch. 1.2 - A string of length n over a set S is an ordered...Ch. 1.2 - Prob. 1ESCh. 1.2 - Write in words how to read each of the following...Ch. 1.2 - Is 4={4}? How many elements are in the set...Ch. 1.2 - a. Is 2{2}? b. How many elements are in the set...Ch. 1.2 - Which of the following sets are equal?...Ch. 1.2 - For each integer n, let Tn={n,n2} . How many...Ch. 1.2 - Prob. 7ESCh. 1.2 - Prob. 8ESCh. 1.2 - Is3{1,2,3}? Is 1{1}? Is {2}{1,2}? Is...Ch. 1.2 - Is ((2)2,22)=(22,( 2)2)? Is (5,5)=(5,5)? Is...Ch. 1.2 - Prob. 11ESCh. 1.2 - Prob. 12ESCh. 1.2 - Prob. 13ESCh. 1.2 - Prob. 14ESCh. 1.2 - Let S={0,1} . List all the string of length 4 over...Ch. 1.2 - Let T={x,y} . List all the strings of length 5...Ch. 1.3 - Given sets A and B , relation from A to B is ____Ch. 1.3 - A function F from B is a relation from A to B that...Ch. 1.3 - If F is a function from A to B and x is an element...Ch. 1.3 - Let A={2,3,4} and B={6,8,10} and define a relation...Ch. 1.3 - Let C=D={3,2,1,1,2,3} and define a elation S from...Ch. 1.3 - Let E={1,2,3} and F={2,1,0} and define a relation...Ch. 1.3 - Let G=-2,0,2) and H=4,6,8) and define a relation V...Ch. 1.3 - Define a relations S from R to R as follows: For...Ch. 1.3 - Define a relation R from R to R as follows: For...Ch. 1.3 - Let A={4,5,6} and B={5,6,7} and define relations...Ch. 1.3 - Let A={2,4} and B={1,3,5} and define relations U,...Ch. 1.3 - Find all function from {01,} to {1} . Find two...Ch. 1.3 - Find tour relations from {a,b} to {x,y} that are...Ch. 1.3 - Let A={0,1,2} and let S be the set of all strings...Ch. 1.3 - Let A={x,y} and let S be the set all strings over...Ch. 1.3 - Let A={1,0,1} and B={t,u,v,w} . Define a function...Ch. 1.3 - Let C = (1,2,3,4) and D={a,b,c,d}. Define a...Ch. 1.3 - Let X=2,4,5) and Y=(1,2,4,6) . Which of the...Ch. 1.3 - Let f be the squaring function defined in Example...Ch. 1.3 - Let g be the successor function defined in Example...Ch. 1.3 - Let h be the constant function defined in Example...Ch. 1.3 - Define functions f and g from R to R by the...Ch. 1.3 - Define functions H and K from R to R by the...Ch. 1.4 - A graph consists of two finite sets: ______and...Ch. 1.4 - A loop in a graph is_____Ch. 1.4 - Two distinct edges in a graph are parallel if, and...Ch. 1.4 - Two vertices are called adjacent if, and only if,...Ch. 1.4 - An edge is incident on _______Ch. 1.4 - Two edges incident on the same endpoint...Ch. 1.4 - A vertex on which no edges are incident is________Ch. 1.4 - Prob. 8TYCh. 1.4 - Prob. 9TYCh. 1.4 - In 1 and 2, graphs are represented by drawings...Ch. 1.4 - In 1 and 2, graphs are represented by drawings....Ch. 1.4 - In 3 and 4, draw pictures of the specified graphs....Ch. 1.4 - Prob. 4ESCh. 1.4 - Prob. 5ESCh. 1.4 - In 5-7, show that the two drawings represent the...Ch. 1.4 - In 5-7, show that the two drawings represent the...Ch. 1.4 - For each of the graphs in 8 and 9: (i) Find all...Ch. 1.4 - For each of the graphs in 8 and 9: (i) Find all...Ch. 1.4 - Use the graph of Example 1.4.6 to determine...Ch. 1.4 - Find three other winning sequences of moves for...Ch. 1.4 - Another famous puzzle used as an example in the...Ch. 1.4 - Solve the vegetarians-and-cannibals puzzle for the...Ch. 1.4 - Two jugs A and B have capacities of 3 quarts and 5...Ch. 1.4 - Prob. 15ESCh. 1.4 - In this exercise a graph is used to help solve a...Ch. 1.4 - A deptnn1 war to ithechik final ezans that no...
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