Math

StatisticsProbability and Statistics for Engineering and the Sciencesa. A certain company sends 40% of its overnight mail parcels via express mail service E 1 . Of these parcels, 2% arrive after the guaranteed delivery time (denote the event “late delivery” by L ). If a record of an overnight mailing is randomly selected from the company’s file, what is the probability that the parcel went via E 1 and was late? b. Suppose that 50% of the overnight parcels are sent via express mail service E 2 and the remaining 10% are sent via E 3 . Of those sent via E 2 , only 1% arrive late, whereas 5% of the parcels handled by E 3 arrive late. What is the probability that a randomly selected parcel arrived late? c. If a randomly selected parcel has arrived on time, what is the probability that it was not sent via E 1 ?BuyFind*arrow_forward*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 2, Problem 103SE

Textbook Problem

**a.** A certain company sends 40% of its overnight mail parcels via express mail service *E*_{1}. Of these parcels, 2% arrive after the guaranteed delivery time (denote the event “late delivery” by *L*). If a record of an overnight mailing is randomly selected from the company’s file, what is the probability that the parcel went via *E*_{1} and was late?

**b.** Suppose that 50% of the overnight parcels are sent via express mail service *E*_{2} and the remaining 10% are sent via *E*_{3}. Of those sent via *E*_{2}, only 1% arrive late, whereas 5% of the parcels handled by *E*_{3} arrive late. What is the probability that a randomly selected parcel arrived late?

**c.** If a randomly selected parcel has arrived on time, what is the probability that it was not sent via *E*_{1}?

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 Suppose the economy is in a long-run equilibrium. a. Draw a diagram to illustrate the state of the economy. Be ...

Brief Principles of Macroeconomics (MindTap Course List)

A survey conducted by Better Homes and Gardens Real Estate LLC showed that one in five U.S. homeowners have eit...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

What does the invisible hand of the marketplace do?

Principles of Microeconomics (MindTap Course List)

Explain why economists usually oppose controls on prices.

Principles of Macroeconomics (MindTap Course List)

Give three examples of important trade-offs that you face in your life.

Principles of Economics (MindTap Course List)

(Pitfalls of Economic Analysis) Review the discussion of pitfalls in economic thinking in this chapter. Then id...

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

Select one of the four stocks listed in Question 3 by entering the companys ticker symbol on the financial webs...

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

What are the four key factors in a firm's credit policy? How would a relaxed policy differ from a restrictive p...

Fundamentals of Financial Management (MindTap Course List)

Case 4-70 CONTINUING PROBLEM: FRONT ROW ENTERTAINMENT Over the next 2 months, Front Row Entertainment continued...

Cornerstones of Financial Accounting

Impaired goodwill and amortization of patent On April 1, a patent with an estimated useful economic life of 12 ...

Corporate Financial Accounting

You are Interested in exploring your career options to make sure you have the right Skill set for your chosen f...

Essentials of Business Communication (MindTap Course List)

What might be the mission of a neighborhood restaurant? Of the Salvation Army? What might be reasonable objecti...

Foundations of Business (MindTap Course List)

What problems are solved by transforming a set of relational tables from second normal form (2NF) to third norm...

Accounting Information Systems

The financial statements are interrelated. What item of financial or operating data appears on both the income ...

Financial & Managerial Accounting

Should stockholder wealth maximization be thought of as a long-term or a short-term goal? For example, if one a...

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

Statistical Literacy Suppose the scatter diagram of a random sample of data pairs (x, y) shows no linear relati...

Understanding Basic Statistics

Researchers at a National Weather Center in the north-eastern United States recorded the number of 900 days eac...

Statistics for The Behavioral Sciences (MindTap Course List)

SOC A random sample of 429 college students was interviewed about a number of matters. Use the results to const...

Essentials Of Statistics

For the following scores, find the value of each expression: X 3 2 4 2 a. X b. (X)2 c. X 2 d. (X 2)

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

Finding Slopes of Lines In Exercises 27-40, find the slope of the line passing through the pair of points. See ...

Calculus: An Applied Approach (MindTap Course List)

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 5762, sketch the straight line defined by the given linear equation by finding the x- and y-interc...

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

Find the values of a and b that make f continuous everywhere. f(x)={x24x2ifx2ax2bx+3if2x32xa+bifx3

Single Variable Calculus

Determine limx11x31 and limx1+1x31 (a) by evaluating f(x) = l/(x3 1) for values of x that approach 1 from the ...

Single Variable Calculus: Early Transcendentals, Volume I

What is a mathematical model?

Calculus (MindTap Course List)

Approximate the sum of the series correct to four decimal places. 28.n=1(1)n+1n6

Calculus: Early Transcendentals

Using a Geometric Series In Exercises 55 and 36, (a) write the repeating decimal us a geometric series and (b) ...

Calculus: Early Transcendental Functions

Let z = a + bi. (a) The modulus of z is r = __________, and an argument of z is an angle satisfying tan = ___...

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 14, complete the given tables. Exponential Form Logarithmic Form log0.30.09=2 log1/21=0 log100.001...

Applied Calculus

Find symmetric equations for the line of intersection of the planes. 5x 2y 2z = 1, 4x + y + z = 6

Multivariable Calculus

For Problems 58-63, use your calculator and evaluate each of the algebraic expressions for the indicated values...

Intermediate Algebra

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

Finite Mathematics

The area the number of squares of the rectangle in the accompanying drawing can be determined by multiplying th...

Elementary Geometry For College Students, 7e

31. Prove statement of Theorem : for all integers and .

Elements Of Modern Algebra

Use the rules for subtraction of measurements to subtract the second measurement from the first: 14.02mm14.8mm_

Elementary Technical Mathematics

Evaluate the integrals in Problems 1-11.

Mathematical Applications for the Management, Life, and Social Sciences

Use the following graphs to draw the membership graph of WARM HOT.

Mathematical Excursions (MindTap Course List)

Calculate the assessed value and the property tax due on the following properties. FairMarketValueAssessmentRat...

Contemporary Mathematics for Business & Consumers

Find all solutions in the interval 0360. If rounding is necessary, round to the nearest tenth of a degree. tan2...

Trigonometry (MindTap Course List)

In a certain state the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40 mi/h. The fin...

Single Variable Calculus: Early Transcendentals

Finding Partial Derivatives Implicitly In Exercises 27-34, differentiate implicitly to find the first partial d...

Calculus: Early Transcendental Functions (MindTap Course List)

Find the monthly payment required to amortize a loan of 100,000 over 10 years with interest charged at the rate...

Finite Mathematics for the Managerial, Life, and Social Sciences

Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the regio...

Calculus of a Single Variable

Consider the following events: T = event that a randomly selected adult trusts credit card companies to safegua...

Introduction To Statistics And Data Analysis

True or False:
If F is conservative, then curl F = 0.

Study Guide for Stewart's Multivariable Calculus, 8th

limx5x225x29x+20= a) 1 b) 10 c) d) does not exist

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

aBecause point Q is their common center, these circles are known as _ circles. bIf RQ=3 and QV=5, find the leng...

Elementary Geometry for College Students

The national highway Traffic Safety administration reported the percentage of traffic accidents occurring each ...

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

Describe a distribution of scores that has a mean of M = 30 and a standard deviation of SD = 6. (Where are the ...

Research Methods for the Behavioral Sciences (MindTap Course List)

In addition to the key words, you should also be able to define each of the following terms: Publication Manual...

Research Methods for the Behavioral Sciences (MindTap Course List)

Rectangular-to-Spherical ConversionIn Exercises 3136, convert the point from rectangular coordinates to spheric...

Multivariable Calculus

What does the Truth in Lending Act do for borrowers?

Mathematics: A Practical Odyssey

Evaluating a Line Integral of a Vector Field In Exercises 35-38, evaluate CFdr. F(x,y)=xyi+2xyjC:r(t)=t2i+t2j,0...

Calculus (MindTap Course List)

Solve each of the following equations using the addition principle of equality. Check each answer. A0.8=0.3

Mathematics For Machine Technology

Consider the following set: {5,4,23,0,1,2,2,2.75,6,7} Which numbers are odd integers?

College Algebra (MindTap Course List)

6. A quality control process monitors the weight per carton of laundry detergent. Control limits are set at UCL...

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

Television Viewing. Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probabil...

Essentials Of Statistics For Business & Economics

The Single-Graph method In Exercises S-7 through S-12, use the single graph method to solve the given equation....

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

(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution of the initial-value pro...

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

In 22—24, indicate whether the given strings belong to the language defined by the given regular expression. Br...

Discrete Mathematics With Applications

A football league reported that the mean number of touchdowns per game was five. A study is done to determine i...

Introductory Statistics

Error Analysis Describe the error: A real zero of the numerator of a rational function f is x=c. So, x=c must a...

College Algebra