Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 3.2, Problem 61E
To determine
The number of pivots in the reduced matrix of the system for a unique solution.
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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).
Excel File: data05-23.xls
Number of Cups
per Day
Number of
Responses
0
365
264
193
2
3
4 or more
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.
Round your answers to four decimal places.
a. Develop a probability distribution for x.
x
0
1
2
3
f(x)
b. Compute the expected value of x.
cups of coffee
c. Compute the variance of x.
cups of coffee squared
d. Suppose we are only interested in adults that 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.
Compare it to the expected value of x.
The…
A technician services mailing machines at companies in the Phoenix area. Depending on the type of malfunction, the service call can take 1, 2, 3, or 4 hours. The different types of malfunctions occur at about the same frequency.
Develop a probability distribution for the duration of a service call.
Duration of Call
x
f(x)
1
2
3
4
Which of the following probability distribution graphs accurately represents the data set?
Consider the required conditions for a discrete probability function, shown below.Does this probability distribution satisfy equation (5.1)?Does this probability distribution satisfy equation (5.2)?
What is the probability a service call will take three hours?
A service call has just come in, but the type of malfunction is unknown. It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. What is the probability the service technician will have to work overtime to fix the machine today?
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain the patient's trust. The following probability function has been proposed.
x
f(x)
for x = 1, 2, or 3
a. Consider the required conditions for a discrete probability function, shown below.
f(x) ≥0
Σf(x) = 1
(5.1)
(5.2)
Does this probability distribution satisfy equation (5.1)?
Select
Does this probability distribution satisfy equation (5.2)?
Select
b. What is the probability that it takes exactly 2 sessions to gain the patient's trust (to 3 decimals)?
c. What is the probability that it takes at least 2 sessions to gain the patient's trust (to 3 decimals)?
Chapter 3 Solutions
Finite Mathematics
Ch. 3.1 - In Exercises 1-6, find three different particular...Ch. 3.1 - In Exercises 1-6, find three different particular...Ch. 3.1 - In Exercises 1-6, find three different particular...Ch. 3.1 - In Exercises 1-6, find three different particular...Ch. 3.1 - In Exercises 1-6, find three different particular...Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - In Exercises 7-20, find all solutions of the given...Ch. 3.1 - In Exercises 7-20, find all solutions of the given...
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - In Exercises 7-20, find all solutions of the given...Ch. 3.1 - In Exercises 7-20, find all solutions of the given...Ch. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - In Exercises 7-20, find all solutions of the given...Ch. 3.1 - In Exercises 21-30, use technol.ogy to obtain...Ch. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - In Exercises 21-30, use technol.ogy to obtain...Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - In Exercises 21-30, use technol.ogy to obtain...Ch. 3.1 - In Exercises 31-38, translate the given statement...Ch. 3.1 - In Exercises 31-38, translate the given statement...Ch. 3.1 - In Exercises 31-38, translate the given statement...Ch. 3.1 - In Exercises 31-38, translate the given statement...Ch. 3.1 - In Exercises 31-38, translate the given statement...Ch. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Class Scheduling Enormous State Universitys Math...Ch. 3.1 - Prob. 41ECh. 3.1 - Nutrition Anthony Altino is mixing food for his...Ch. 3.1 - Nutrition One serving of Campbell Soup Companys...Ch. 3.1 - Nutrition One serving of Campbell Soup Companys...Ch. 3.1 - Protein Supplements Exercises 45-48 are based on...Ch. 3.1 - Protein Supplements Exercises 45-48 are based on...Ch. 3.1 - Protein Supplements Exercises 45-48 are based on...Ch. 3.1 - Protein Supplements Exercises 45-48 are based on...Ch. 3.1 - Prob. 49ECh. 3.1 - Investments: Energy Stocks In the 3-rnonth period...Ch. 3.1 - Prob. 51ECh. 3.1 - Investments: High Dividend Stocks During the first...Ch. 3.1 - Voting An appropriations bill passed the U.S....Ch. 3.1 - Voting The U.S. Senate has 100 members. For a bill...Ch. 3.1 - Intramural Sports The best sports dorm on campus,...Ch. 3.1 - Law Five years ago, Enormous State Universitys...Ch. 3.1 - Purchasing (from the GMAT) Elena purchased Brand X...Ch. 3.1 - Purchasing (based on a question from the GMAT)...Ch. 3.1 - Prob. 59ECh. 3.1 - Equilibrium Price The demand and supply functions...Ch. 3.1 - Supply and Demand (from the GRE Economics Test)...Ch. 3.1 - Prob. 62ECh. 3.1 - Equilibrium Price In June 2001 the retail price of...Ch. 3.1 - Equilibrium Price At the start of December 2001...Ch. 3.1 - Pollution Joe Slo, a college sophomore, neglected...Ch. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - A system of three equations in two unknowns...Ch. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Referring to Exercise 39, but using different...Ch. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Select one: If the addition or subtraction of two...Ch. 3.1 - Select one: If adding two linear equations gives...Ch. 3.1 - Prob. 79ECh. 3.1 - Prob. 80ECh. 3.1 - How likely do you think it is that a random system...Ch. 3.1 - Prob. 82ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 14ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 17ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 19ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 36ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - In Exercises 43-46, use technology to solve the...Ch. 3.2 - Prob. 46ECh. 3.2 - In Exercises 47-50, use technology to solve the...Ch. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - In Exercises 47-50, use technology to solve the...Ch. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Your friend Frans tells you that the system of...Ch. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.3 - Resource Allocation You manage an ice cream...Ch. 3.3 - Resource Allocation You own a hamburger franchise...Ch. 3.3 - Resource Allocation Urban Community College is...Ch. 3.3 - Resource Allocation The Enormous State University...Ch. 3.3 - Latin Music Sales (Digital) In 2013, total...Ch. 3.3 - Latin Music Sales (Digital) In 2012, total...Ch. 3.3 - Purchasing Aircraft In Example 2 we saw that...Ch. 3.3 - Purchasing Aircraft Refer to Exercise 7. Rene...Ch. 3.3 - Supply A bagel store orders cream cheese from...Ch. 3.3 - Supply Refer to Exercise 9. The bagel store's...Ch. 3.3 - Pest Control Halmar the Great has boasted to his...Ch. 3.3 - Manufacturing Perfume The Fancy French Perfume...Ch. 3.3 - Donations The Enormous State University Good Works...Ch. 3.3 - Tenure Professor Walt is up for tenure and wishes...Ch. 3.3 - Airline Costs Exercises 15and16 are based on the...Ch. 3.3 - Airline Costs Exercises 15and16 are based on the...Ch. 3.3 - Investing: Inverse Mutual Funds Inverse mutual...Ch. 3.3 - Investing: Inverse Mutual Funds Inverse mutual...Ch. 3.3 - Investing: Lesser-Known Stocks Exercises 19 and 20...Ch. 3.3 - Investing: Lesser-Known Stocks Exercises 19 and 20...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Market Share: Homeowners Insurance Three market...Ch. 3.3 - Prob. 24ECh. 3.3 - Inventory Control Red Bookstore wants to ship...Ch. 3.3 - Inventory Control The Tubular Ride Boogie Board...Ch. 3.3 - Prob. 27ECh. 3.3 - Tourism in the 1990s In the 1990s, significant...Ch. 3.3 - Prob. 29ECh. 3.3 - Tobacco The following table shows some data from...Ch. 3.3 - Traffic Flow One-way traffic through Enormous...Ch. 3.3 - Traffic Flow The traffic through downtown East...Ch. 3.3 - Traffic Flow The traffic through downtown...Ch. 3.3 - Traffic Flow Officials of the town of Hempstead...Ch. 3.3 - Traffic Management The Outer Village Town Council...Ch. 3.3 - Electric Current Electric current measures (in...Ch. 3.3 - Econometrics (from the GRE Economics Test) This...Ch. 3.3 - Prob. 38ECh. 3.3 - CAT Scans CAT (computerized axial tomographic)...Ch. 3.3 - CAT Scans CAT (computerized axial tomographic)...Ch. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Voting In the 75th Congress (1937-1939) the U.S....Ch. 3.3 - Prob. 46ECh. 3.3 - Investments Things have not been going too well...Ch. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Suppose that you obtained a solution for Exercise...Ch. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - In Exercises 51-56, x, y and z represent the...Ch. 3.3 - In Exercises 51-56, x, y and z represent the...Ch. 3.3 - Make up an entertaining word problem leading to...Ch. 3.3 - Prob. 58ECh. 3 - In Exercises 16, graph the given equations and...Ch. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - In Exercises 16, graph the given equations and...Ch. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - Prob. 15RECh. 3 - In Exercises 718, solve the given system of linear...Ch. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Exercises 1922 are based on the following equation...Ch. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Purchasing You are the buyer for OHaganBooks.com...Ch. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Feeding Schedules Billy-Sean OHagan is John...Ch. 3 - Prob. 36RECh. 3 - Website Traffic OHaganBooks.com has two principal...Ch. 3 - Sales As the buyer at OHaganBooks.com, you are...Ch. 3 - Investing in Stocks Billy-Sean OHagan is the...Ch. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RE
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