Math

StatisticsProbability and Statistics for Engineering and the SciencesFor customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured in the U.S., B be the event that the refrigerator had an icemaker, and C be the event that the customer purchased an extended warranty. Relevant probabilities are P ( A ) = .75 P ( B | A ) = .9 P ( B | A ′) = .8 P ( C | A ∩ B ) = .8 P ( C | A ∩ B ′) = .6 P ( C | A ′ ∩ B ) = .7 P ( C | A ′ ∩ B ′) = .3 a. Construct a tree diagram consisting of first-, second-, and third-generation branches, and place an event label and appropriate probability next to each branch. b. Compute P ( A ∩ B ∩ C ). c. Compute P ( B ∩ C ). d. Compute P ( C ). e. Compute P ( A | B ∩ C ), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased.BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 2.4, Problem 63E

Textbook Problem

For customers purchasing a refrigerator at a certain appliance store, let *A* be the event that the refrigerator was manufactured in the U.S., *B* be the event that the refrigerator had an icemaker, and *C* be the event that the customer purchased an extended warranty. Relevant probabilities are

*P*(*A*) = .75 *P*(*B*|*A*) = .9 *P*(*B*|*A*′) = .8

*P*(*C*|*A* ∩ *B*) = .8 *P*(*C*|*A* ∩ *B*′) = .6

*P*(*C*|*A*′ ∩ *B*) = .7 *P*(*C*|*A*′ ∩ *B*′) = .3

**a.**Construct a tree diagram consisting of first-, second-, and third-generation branches, and place an event label and appropriate probability next to each branch.**b.**Compute*P*(*A*∩*B*∩*C*).**c.**Compute*P*(*B*∩*C*).**d.**Compute*P*(*C*).**e.**Compute*P*(*A*|*B*∩*C*), the probability of a U.S. purchase given that an icemaker and extended warranty are also purchased.

Probability and Statistics for Engineering and the Sciences

Show all chapter solutions

Ch. 2.1 - Four universities1, 2, 3, and 4are participating...Ch. 2.1 - Suppose that vehicles taking a particular freeway...Ch. 2.1 - Three components are connected to form a system as...Ch. 2.1 - Each of a sample of four home mortgages is...Ch. 2.1 - A family consisting of three personsA, B, and...Ch. 2.1 - A college library has five copies of a certain...Ch. 2.1 - An academic department has just completed voting...Ch. 2.1 - An engineering construction firm is currently...Ch. 2.1 - Use Venn diagrams to verify the following two...Ch. 2.1 - a. In Example 2.10, identify three events that are...

Ch. 2.2 - A mutual fund company offers its customers a...Ch. 2.2 - Consider randomly selecting a student at a large...Ch. 2.2 - A computer consulting firm presently has bids out...Ch. 2.2 - Suppose that 55% of all adults regularly consume...Ch. 2.2 - Consider the type of clothes dryer (gas or...Ch. 2.2 - An individual is presented with three different...Ch. 2.2 - Let A denote the event that the next request for...Ch. 2.2 - A wallet contains five 10 bills, four 5 bills, and...Ch. 2.2 - Human visual inspection of solder joints on...Ch. 2.2 - A certain factory operates three different shifts....Ch. 2.2 - An insurance company offers four different...Ch. 2.2 - The route used by a certain motorist in commuting...Ch. 2.2 - The computers of six faculty members in a certain...Ch. 2.2 - Show that if one event A is contained in another...Ch. 2.2 - The three most popular options on a certain type...Ch. 2.2 - A certain system can experience three different...Ch. 2.2 - An academic department with five faculty members...Ch. 2.2 - In Exercise 5, suppose that any incoming...Ch. 2.3 - As of April 2006, roughly 50 million .com web...Ch. 2.3 - A friend of mine is giving a dinner party. His...Ch. 2.3 - The composer Beethoven wrote 9 symphonies, 5 piano...Ch. 2.3 - An electronics store is offering a special price...Ch. 2.3 - Again consider a Little League team that has 15...Ch. 2.3 - Computer keyboard failures can be attributed to...Ch. 2.3 - A production facility employs 10 workers on the...Ch. 2.3 - An academic department with five faculty members...Ch. 2.3 - An experimenter is studying the effects of...Ch. 2.3 - A sonnet is a 14-line poem in which certain...Ch. 2.3 - A box in a supply room contains 15 compact...Ch. 2.3 - Three molecules of type A, three of type B, three...Ch. 2.3 - An ATM personal identification number (PIN)...Ch. 2.3 - A starting lineup in basketball consists of two...Ch. 2.3 - In five-card poker, a straight consists of five...Ch. 2.3 - Show that (nk)=(nnk). Give an interpretation...Ch. 2.4 - The population of a particular country consists of...Ch. 2.4 - Suppose an individual is randomly selected from...Ch. 2.4 - Return to the credit card scenario of Exercise 12...Ch. 2.4 - Reconsider the system defect situation described...Ch. 2.4 - The accompanying table gives information on the...Ch. 2.4 - A department store sells sport shirts in three...Ch. 2.4 - According to a July 31, 2013, posting on cnn.com...Ch. 2.4 - A system consists of two identical pumps, #1 and...Ch. 2.4 - A certain shop repairs both audio and video...Ch. 2.4 - In Exercise 13, Ai = {awarded project i}, for i =...Ch. 2.4 - Deer ticks can be carriers of either Lyme disease...Ch. 2.4 - For any events A and B with P(B) 0, show that...Ch. 2.4 - If P(B|A) P(B), show that P(B|A) P(B). [Hint:...Ch. 2.4 - Show that for any three events A, B, and C with...Ch. 2.4 - At a certain gas station, 40% of the customers use...Ch. 2.4 - Seventy percent of the light aircraft that...Ch. 2.4 - Components of a certain type are shipped to a...Ch. 2.4 - Blue Cab operates 15% of the taxis in a certain...Ch. 2.4 - For customers purchasing a refrigerator at a...Ch. 2.4 - The Reviews editor for a certain scientific...Ch. 2.4 - A large operator of timeshare complexes requires...Ch. 2.4 - Consider the following information about travelers...Ch. 2.4 - There has been a great deal of controversy over...Ch. 2.4 - A friend who lives in Los Angeles makes frequent...Ch. 2.4 - In Exercise 59, consider the following additional...Ch. 2.5 - Reconsider the credit card scenario of Exercise 47...Ch. 2.5 - An oil exploration company currently has two...Ch. 2.5 - In Exercise 13, is any Ai independent of any other...Ch. 2.5 - If A and B are independent events, show that A and...Ch. 2.5 - The proportions of blood phenotypes in the U.S....Ch. 2.5 - One of the assumptions underlying the theory of...Ch. 2.5 - In October, 1994, a flaw in a certain Pentium chip...Ch. 2.5 - An aircraft seam requires 25 rivets. The seam will...Ch. 2.5 - A boiler has five identical relief valves. The...Ch. 2.5 - Two pumps connected in parallel fail independently...Ch. 2.5 - Consider the system of components connected as in...Ch. 2.5 - Refer back to the series-parallel system...Ch. 2.5 - Consider independently rolling two fair dice, one...Ch. 2.5 - Components arriving at a distributor are checked...Ch. 2.5 - Consider purchasing a system of audio components...Ch. 2.5 - A quality control inspector is examining newly...Ch. 2.5 - a. A lumber company has just taken delivery on a...Ch. 2.5 - Consider randomly selecting a single individual...Ch. 2.5 - The probability that an individual randomly...Ch. 2.5 - Suppose identical tags are placed on both the left...Ch. 2 - A certain legislative committee consists of 10...Ch. 2 - A factory uses three production lines to...Ch. 2 - An employee of the records office at a certain...Ch. 2 - One satellite is scheduled to be launched from...Ch. 2 - A transmitter is sending a message by using a...Ch. 2 - Individual A has a circle of five close friends...Ch. 2 - According to the article Optimization of...Ch. 2 - A chemical engineer is interested in determining...Ch. 2 - Five friendsAllison, Beth, Carol, Diane, and...Ch. 2 - Fasteners used in aircraft manufacturing are...Ch. 2 - Jay and Maurice are playing a tennis match. In one...Ch. 2 - A system consists of two components. The...Ch. 2 - The accompanying table categorizing each student...Ch. 2 - a. A certain company sends 40% of its overnight...Ch. 2 - A company uses three different assembly linesA1,...Ch. 2 - Disregarding the possibility of a February 29...Ch. 2 - One method used to distinguish between granitic...Ch. 2 - A subject is allowed a sequence of glimpses to...Ch. 2 - In a Little League baseball game, team As pitcher...Ch. 2 - Four engineers, A, B, C, and D, have been...Ch. 2 - A particular airline has 10 a.m. flights from...Ch. 2 - Consider four independent events A1, A2, A3, and...Ch. 2 - A box contains the following four slips of paper,...Ch. 2 - Show that if A1, A2, and A3 are independent...

Find more solutions based on key concepts

Show solutions (Supply Shifters) List the five things that are held constant along a market supply curve, and identify the cha...

ECON: MICRO4 (New, Engaging Titles from 4LTR Press)

The Bureau of Transportation Statistics Omnibus Household Survey is conducted annually and serves as an informa...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

All of the following topics fall within the study of microeconomics EXCEPT a. the impact of cigarette taxes on ...

Principles of Microeconomics (MindTap Course List)

Suppose that business travelers and vacationers have the following demand for airline tickets from New York to ...

Principles of Macroeconomics (MindTap Course List)

If a nation has high and persistent inflation, the most likely explanation is a. the central bank creating exce...

Principles of Economics (MindTap Course List)

Suppose the federal government cuts taxes and increases spending, raising the budget deficit to 12 percent of G...

Brief Principles of Macroeconomics (MindTap Course List)

Beta pf CPB company Beta of the MSI Company is 0.19. The beta of TIF Company is 1.76. 8. Repeat the same exerci...

Fundamentals Of Financial Management, Concise Edition (mindtap Course List)

How do revenues and expenses affect the accounting equation?

Cornerstones of Financial Accounting

Identifying accounts to be closed From the list that follows, identify the accounts that should be closed to In...

Corporate Financial Accounting

REGRESSION AND RECEIVABLES Edwards Industries has 320 million in sales. The company expects that its sales will...

Fundamentals of Financial Management (MindTap Course List)

Transactions Interstate Delivery Service is owned and operated by Katie Wyer. The following selected transactio...

Financial & Managerial Accounting

Finally, you can also use the information on the Internet to value the entire corporation. This approach requir...

Fundamentals of Financial Management, Concise Edition (MindTap Course List)

Selecting Graphics: YOUR TASK. Identify the best graphics forms to illustrate the following data. a. Potential ...

Essentials of Business Communication (MindTap Course List)

How does (or could) your university bookstore use technology to improve customer interactions with students, fa...

Accounting Information Systems

How can a firm obtain the expertise needed to produce and market its products in, for example, the EU?

Foundations of Business (MindTap Course List)

For each of the following items from a public-opinion survey, indicate the level of measurement. a. In what cou...

Essentials Of Statistics

In Problems 9-14, (a) Draw a scatter diagram for the data. (b) Find x,y,b, and the equations of the least-squar...

Understanding Basic Statistics

Describe the homogeneity of variance assumption and explain why it is important for the independent-measures t ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

A population of N = 15 scores has a mean of = 8. One score in the population is changed from X = 20 to X = 5. W...

Statistics for The Behavioral Sciences (MindTap Course List)

Find dy/dx by implicit differentiation. 14. ey sin x = x + xy

Single Variable Calculus: Early Transcendentals, Volume I

Cobb and Douglas used the equation P(L, K) = 1.01L0.75K0.25 to model the American economy from 1899 to 1922, wh...

Multivariable Calculus

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. 1x[x3...

Applied Calculus

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the limit, if it exists. 29. limt0(1t1+t1t)

Single Variable Calculus

Seating Capacity A teacher places n seats to form the back row of a classroom layout. Each successive row conta...

Calculus: Early Transcendental Functions

Use a CAS to find the exact area of the surface obtained by rotating the curve about the y-axis. If your CAS ha...

Calculus (MindTap Course List)

Find the derivative of the function. J() = tan2(n)

Calculus: Early Transcendentals

Finding Intercepts In Exercises 6570, use a graphing utility to graph the equation and approximate the x- and y...

Calculus: An Applied Approach (MindTap Course List)

DISCUSS: Determining When a Linear Function Has an Inverse For the linear function f(x) = mx + b to be one-to-o...

Precalculus: Mathematics for Calculus (Standalone Book)

For Problems 55-94, simplify each numerical expression. Objectives 7 8(346)

Intermediate Algebra

In Exercises 1-4, plot the graph of the function f in (a) the standard viewing window and (b) the indicated win...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the perio...

Trigonometry (MindTap Course List)

Prestige Limousine Sen ice purchased a limousine with an expected useful life of 75.000 miles. The cost of the ...

Contemporary Mathematics for Business & Consumers

Given that NP bisects MNQ, state a conclusion involving mMNP and mPNQ.

Elementary Geometry For College Students, 7e

In Problems 30-36, solve each system using matrices.
36.

Mathematical Applications for the Management, Life, and Social Sciences

Areas of Rectangles Two perpendicular line segment partition the interior of a rectangle into four smaller rect...

Mathematical Excursions (MindTap Course List)

Using Illustration 1, solve each right triangle: ILLUSTRATION 1 A=39.7,b=49.6km

Elementary Technical Mathematics

Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order of K is 3, w...

Elements Of Modern Algebra

CONCEPT CHECK Explicit and Implicit Functions Describe the difference between the explicit form of a function a...

Calculus of a Single Variable

The given curve is rotated about the y-axis. Find the area of the resulting surface. 16. x2/3 + y2/3 = 1, 0 y ...

Single Variable Calculus: Early Transcendentals

Using a Recursively Defined Series In Exercises 77-82. the terms of a aeries n=1an are defined recursively. Det...

Calculus: Early Transcendental Functions (MindTap Course List)

OPTIMIZING PROFIT Refer to the production problem discussed on pages 208210. a. Show that the optimal solution ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Researchers studying pleasant touch sensations measured the firing frequency (impulses per second) of nerves th...

Introduction To Statistics And Data Analysis

A surface S is parameterized by x = sin u, y = sin v, z = cos v for (u, v) ∈ D, 0 ≤ u ≤ , 0 ≤ v ≤ . A double in...

Study Guide for Stewart's Multivariable Calculus, 8th

The Taylor polynomial of degree 3 for f(x) = x(ln x − 1) about 1 is T3(x) =
−1 + x − x2 + x3
−1 − x + x2 − x3...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

With the highest degree term being x4, the equation x4-13x2+36=0 is known as a quartic equation. Use factoring ...

Elementary Geometry for College Students

Describe and identify an example of the empirical method of acquiring knowledge and explain its limitations.

Research Methods for the Behavioral Sciences (MindTap Course List)

The estimated daily living costs for an executive traveling to various major cities follow. The estimates inclu...

Statistics for Business & Economics, Revised (MindTap Course List)

Define a nonequivalent group design and identify examples of this research design when it appears in a research...

Research Methods for the Behavioral Sciences (MindTap Course List)

Representing a Graph by a Vector-Valued Function In Exercises 47-54, represent the plane curve by a vector-valu...

Calculus (MindTap Course List)

Gateway Arch The gateway Arch in St.Louis has a shape that approximates a parabola. See the illustration Find t...

College Algebra (MindTap Course List)

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal pla...

Mathematics For Machine Technology

Verifying the Divergence Theorem In Exercises 38, verify the Divergence Theorem by evaluating sFNdS as a surfac...

Multivariable Calculus

15. The National Football League (NFL) polls fans to develop a rating for each football game (NFL website, Octo...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

A sample of 16 items from population 1 has a sample variance s12=5.8 and a sample of 21 items from population 2...

Essentials Of Statistics For Business & Economics

Rate of Change for a Linear Function If f is the linear function f=7x3, what is the value of dfdx?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Exercises 9-26. use the given information to draw a right triangle labeled like the one shown in Figure 8.89...

Mathematics: A Practical Odyssey

In parts (a) and (b) sketch isoclines f(x, y) = c (see the Remarks on page 39) for the given differential equat...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In 34-37, find Hamiltonian circuits for those graphs that have them. Explain why the other graphs do not.

Discrete Mathematics With Applications

Three students were applying to the same graduate school. They came from schools with different grading systems...

Introductory Statistics

Choosing a Solution Method In Exercises 47-54, solve the system graphically or algebraically. Explain your choi...

College Algebra