
College Mathematics for Business, Economics, Life Sciences, and Social Sciences + Mylab Math With Pearson Etext Title-specific Access Card:
14th Edition
ISBN: 9780134862613
Author: Barnett, Raymond A.
Publisher: Pearson College Div
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Chapter 7.2, Problem 46E
(A)
To determine
The set
(B)
To determine
The set
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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 7 Solutions
College Mathematics for Business, Economics, Life Sciences, and Social Sciences + Mylab Math With Pearson Etext Title-specific Access Card:
Ch. 7.1 - Consider the propositions p and q:
p: “142 <...Ch. 7.1 - Prob. 2MPCh. 7.1 - Prob. 3MPCh. 7.1 - Prob. 4MPCh. 7.1 - Prob. 5MPCh. 7.1 - Prob. 6MPCh. 7.1 - Prob. 7MPCh. 7.1 - Prob. 8MPCh. 7.1 - Prob. 1EDCh. 7.1 - If a compound proposition contains three variables...
Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Explain why the sum of any two odd integers is...Ch. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - In Problems 9–14, express each proposition as an...Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - In Problems 15–20, express each proposition as an...Ch. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - In Problems 21–28, describe each proposition as a...Ch. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - In Problems 21–28, describe each proposition as a...Ch. 7.1 - Prob. 27ECh. 7.1 - In Problems 21–28, describe each proposition as a...Ch. 7.1 - Prob. 29ECh. 7.1 - In Problems 29–34, state the converse and the...Ch. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - Prob. 43ECh. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - In Problems 35–52, construct a truth table for the...Ch. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - In Problems 53-58, construct a truth table to...Ch. 7.1 - In Problems 59–64, construct a truth table to...Ch. 7.1 - Prob. 60ECh. 7.1 - In Problems 59–64, construct a truth table to...Ch. 7.1 - In Problems 59–64, construct a truth table to...Ch. 7.1 - In Problems 59–64, construct a truth table to...Ch. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Let p be the proposition “every politician is...Ch. 7.1 - Prob. 71ECh. 7.1 - If the conditional proposition p is a...Ch. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.2 - Let G be the set of all numbers such that x2 =...Ch. 7.2 - Prob. 2MPCh. 7.2 - Prob. 3MPCh. 7.2 - Prob. 4MPCh. 7.2 - Prob. 5MPCh. 7.2 - Prob. 6MPCh. 7.2 - Refer to Example 7.
How many customers purchased...Ch. 7.2 - Prob. 1EDCh. 7.2 - Prob. 2EDCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - In Problems 1–6, answer yes or no.
6. If the...Ch. 7.2 - In Problems 7–14, indicate true (T) or false...Ch. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - In Problems 7–14, indicate true (T) or false...Ch. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - In Problems 15–28, write the resulting set using...Ch. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - In Problems 31–44, refer to the Venn diagram below...Ch. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - In Problems 31–44, refer to the Venn diagram below...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - In Problems 31–44, refer to the Venn diagram below...Ch. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - In Problems 31–44, refer to the Venn diagram below...Ch. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - If R = {1, 3, 4} and T = {2, 4, 6}, find
{x|x ∊ R...Ch. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - In Problems 63–72, discuss the validity each...Ch. 7.2 - Prob. 64ECh. 7.2 - In Problems 63–72, discuss the validity of each...Ch. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - Prob. 68ECh. 7.2 - Prob. 69ECh. 7.2 - Prob. 70ECh. 7.2 - Prob. 71ECh. 7.2 - Prob. 72ECh. 7.2 - Prob. 73ECh. 7.2 - Prob. 74ECh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - Prob. 81ECh. 7.2 - Prob. 82ECh. 7.2 - Prob. 83ECh. 7.2 - Prob. 84ECh. 7.2 - Prob. 85ECh. 7.2 - Prob. 86ECh. 7.2 - Prob. 87ECh. 7.2 - Prob. 88ECh. 7.2 - Committee selection. A company president and three...Ch. 7.2 - Prob. 90ECh. 7.2 - Prob. 91ECh. 7.2 - Prob. 92ECh. 7.2 - Prob. 93ECh. 7.2 - Blood types. When receiving a blood transfusion, a...Ch. 7.2 - Prob. 95ECh. 7.2 - Prob. 96ECh. 7.2 - Prob. 97ECh. 7.2 - Prob. 98ECh. 7.3 - The survey in Example 1 also indicated that 345...Ch. 7.3 - Students at a university have the option to stream...Ch. 7.3 - Prob. 3MPCh. 7.3 - Each question on a multiple-choice test has 5...Ch. 7.3 - Prob. 5MPCh. 7.3 - Prob. 1EDCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - An entertainment guide recommends 6 restaurants...Ch. 7.3 - A college offers 2 introductory courses in...Ch. 7.3 - How many 3-letter code words can be formed from...Ch. 7.3 - How many 4-letter code words can be formed from...Ch. 7.3 - A county park system rates its 20 golf courses in...Ch. 7.3 - The 14 colleges of interest to a high school...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - Prob. 22ECh. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 17–24, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - In Problems 25–32, use the given information to...Ch. 7.3 - Prob. 32ECh. 7.3 - In Problems 33 and 34, discuss the validity of...Ch. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - A delicatessen serves meat sandwiches with the...Ch. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - A combination lock has 5 wheels, each labeled with...Ch. 7.3 - Prob. 40ECh. 7.3 - How many different license plates are possible if...Ch. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Problems 45–48 refer to the following Venn...Ch. 7.3 - Problems 45–48 refer to the following Venn...Ch. 7.3 - A group of 75 people includes 32 who play tennis,...Ch. 7.3 - A class of 30 music students includes 13 who play...Ch. 7.3 - A group of 100 people touring Europe includes 42...Ch. 7.3 - A high school football team with 40 players...Ch. 7.3 - A management selection service classifies its...Ch. 7.3 - A corporation plans to fill 2 different positions...Ch. 7.3 - A sales representative who lives in city A wishes...Ch. 7.3 - A manufacturing company in city A wishes to truck...Ch. 7.3 - A survey of 1,200 people indicates that 850 own...Ch. 7.3 - A survey of 800 small businesses indicates that...Ch. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.4 - Find
6!
Ch. 7.4 - Given the set {A, B, C, D}, how many permutations...Ch. 7.4 - Prob. 3MPCh. 7.4 - Prob. 4MPCh. 7.4 - Prob. 5MPCh. 7.4 - How many 5-card hands have 3 hearts and 2...Ch. 7.4 - Repeat Example 7 under the same conditions, except...Ch. 7.4 - Prob. 8MPCh. 7.4 - Prob. 9MPCh. 7.4 - Prob. 1EDCh. 7.4 - In Problems 1–6, evaluate the given expression...Ch. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - In Problems 1–6, evaluate the given expression...Ch. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 14ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 16ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 21ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - Prob. 24ECh. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - In Problems 7–26, evaluate the expression. If the...Ch. 7.4 - In Problems 27–30, simplify each expression...Ch. 7.4 - In Problems 27–30, simplify each expression...Ch. 7.4 - In Problems 27–30, simplify each expression...Ch. 7.4 - In Problems 27–30, simplify each expression...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In Problems 31–36, would you consider the...Ch. 7.4 - In a horse race, how many different finishes among...Ch. 7.4 - In a long-distance foot race, how many different...Ch. 7.4 - How many ways can a 3-person subcommittee be...Ch. 7.4 - Nine cards are numbered with the digits from 1 to...Ch. 7.4 - From a standard 52-card deck, how many 6-card...Ch. 7.4 - From a standard 52-card deck, how many 6-card...Ch. 7.4 - From a standard 52-card deck, how many 5-card...Ch. 7.4 - From a standard 52-card deck, how many 5-card...Ch. 7.4 - From a standard 52-card deck, how many 7-card...Ch. 7.4 - From a standard 52-card deck, how many 7-card...Ch. 7.4 - From a standard 52-card deck, how many 4-card...Ch. 7.4 - From a standard 52-card deck, how many 4-card...Ch. 7.4 - From a standard 52-card deck, how many 5-card...Ch. 7.4 - From a standard 52-card deck, how many 5-card...Ch. 7.4 - A catering service offers K appetizers, 10 main...Ch. 7.4 - Three departments have 12, 15, and 18 members,...Ch. 7.4 - Prob. 53ECh. 7.4 - In Problems 53 and 54, refer to the table in the...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - In Problems 55–60, discuss the validity of each...Ch. 7.4 - Eight distinct points are selected on the...Ch. 7.4 - Five distinct points are selected on the...Ch. 7.4 - In how many ways can 4 people sit in a row of 6...Ch. 7.4 - In how many ways can 3 people sit in a row of 7...Ch. 7.4 - A basketball team has 5 distinct positions. Out of...Ch. 7.4 - How many 4-person committees are possible from a...Ch. 7.4 - Let U be the set of all 2-card hands, let K be the...Ch. 7.4 - Prob. 68ECh. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.4 - An office supply store receives a shipment of 24...Ch. 7.4 - An electronics store receives a shipment of 30...Ch. 7.4 - A jewelry store chain with 8 stores in Georgia, 12...Ch. 7.4 - A real estate company with 14 employees in its...Ch. 7.4 - Suppose that 6 female and 5 male applicants have...Ch. 7.4 - A 4-person grievance committee is selected out of...Ch. 7.4 - A 4-person grievance committee is selected out of...Ch. 7.4 - Prob. 78ECh. 7.4 - A nominating convention will select a president...Ch. 7.4 - In how many different ways can 6 candidates for an...Ch. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - In Problems 11–14, describe each proposition as a...Ch. 7 - In Problems 15–16, state the converse and the...Ch. 7 - In Problems 15–16, state the converse and the...Ch. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 62RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Prob. 66RECh. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - Prob. 69RECh. 7 - Prob. 70RE
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