
Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3.7, Problem 3.81LM
Suppose the events B1 and B2 are mutually exclusive and complementary events, such that P (B1) = .75 and P (B2) = .25. Consider another
- a. Find P (B1 ∩A).
- b. Find P (B2∩A).
- c. Find P (A) using the results in parts a and b.
- d. Find P(B1|A).
- e. Find P (B2|A).
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c
Overhead Costs Billable Hours345000 3000385000 4000410000 5000462000 6000530000 7000545000 8000
Using the accompanying Home Market Value data and associated regression line,
Market ValueMarket Valueequals=$28,416plus+$37.066×Square
Feet, compute the errors associated with each observation using the formula
e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi
and construct a frequency distribution and histogram.
Square Feet Market Value1813 911001916 1043001842 934001814 909001836 1020002030 1085001731 877001852 960001793 893001665 884001852 1009001619 967001690 876002370 1139002373 1131001666 875002122 1161001619 946001729 863001667 871001522 833001484 798001589 814001600 871001484 825001483 787001522 877001703 942001485 820001468 881001519 882001518 885001483 765001522 844001668 909001587 810001782 912001483 812001519 1007001522 872001684 966001581 86200
a. Find the value of A.b. Find pX(x) and py(y).c. Find pX|y(x|y) and py|X(y|x)d. Are x and y independent? Why or why not?
Chapter 3 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 3.1 - An experiment results in one of the following...Ch. 3.1 - The diagram below describes the sample space of a...Ch. 3.1 - The sample space for an experiment contains five...Ch. 3.1 - Compute each of the following: a. (94) b. (72) c....Ch. 3.1 - Compute the number of ways you can select n...Ch. 3.1 - Two fair dice are tossed, and the face on each die...Ch. 3.1 - Two marbles are drawn at random and without...Ch. 3.1 - Use the applet Simulating the Probability of...Ch. 3.1 - Use the applet Simulating the Probability of a...Ch. 3.1 - Cable TV subscriptions and "cord cutters." Refer...
Ch. 3.1 - Do social robots walk or roll? Refer to the...Ch. 3.1 - Colors of MMs candies. When they were first...Ch. 3.1 - Male nannies. In a survey conducted by the...Ch. 3.1 - Working on summer vacation. Is summer vacation a...Ch. 3.1 - Mobile access to social media. The Marketing...Ch. 3.1 - Performance-based logistics. Refer to the Journal...Ch. 3.1 - Who prepares your tax return? As part of a study...Ch. 3.1 - Consumer recycling behavior. Refer to the Journal...Ch. 3.1 - Museum management. Refer to the Museum Management...Ch. 3.1 - USDA chicken inspection. The U.S. Department of...Ch. 3.1 - Jamming attacks on wireless networks. Refer to the...Ch. 3.1 - Randomization in a study of TV commercials....Ch. 3.1 - Jai-alai bets. The Quinella bet at the paramutual...Ch. 3.1 - Investing in stocks. From a list of 15 preferred...Ch. 3.1 - Highest-rated car brands. Consumer Reports 2015...Ch. 3.1 - Volkswagen emissions scandal. Refer to the...Ch. 3.1 - Drug testing of firefighters. Hillsborough County...Ch. 3.1 - Odds of winning a race. Handicappers for greyhound...Ch. 3.1 - Lead bullets as forensic evidence. Chance (Summer...Ch. 3.1 - Making your vote count. Democratic and Republican...Ch. 3.4 - Suppose P (A) = A, P(B) = 7, and P (A B) = 3....Ch. 3.4 - A fair coin is tossed three times, and the events...Ch. 3.4 - A pair of fair dice is tossed. Define the...Ch. 3.4 - Consider the Venn diagram below, where P(E1) =...Ch. 3.4 - Consider the Venn diagram in the next column,...Ch. 3.4 - Prob. 3.35LMCh. 3.4 - Prob. 3.36LMCh. 3.4 - Use the applets Simulating the Probability of...Ch. 3.4 - Prob. 3.4AECh. 3.4 - Do social robots walk or roll? Refer to the...Ch. 3.4 - Firefighter glove sizing. Human Factors (December...Ch. 3.4 - Study of analysts' forecasts. The Journal of...Ch. 3.4 - Problems at major companies The Organization...Ch. 3.4 - Scanning errors at Walmart. The National Institute...Ch. 3.4 - Social networking Web sites in the United Kingdom....Ch. 3.4 - Paying monthly bills online. Do most people pay...Ch. 3.4 - Fuzzy logic in supply chain management. A branch...Ch. 3.4 - Study of why EMS workers leave the job. An...Ch. 3.4 - Stock market participation and IQ. The Journal of...Ch. 3.4 - Cell phone handoff behavior. A "handoff' is a term...Ch. 3.4 - Guilt in decision making. The effect of guilt...Ch. 3.4 - Likelihood of a tax return audit. At the beginning...Ch. 3.4 - Prob. 3.50ACACh. 3.4 - Encoding variability in software. At the 2012 Gulf...Ch. 3.6 - For two events, A and B, P (A) .4, P (B) .2, and...Ch. 3.6 - For two events, A and B, P (A) = .4, P (B) = .2,...Ch. 3.6 - An experiment results in one of three mutually...Ch. 3.6 - For two independent events, A and B, P (A) = .4...Ch. 3.6 - Two fair coins are tossed, and the following...Ch. 3.6 - Consider the experiment depicted by the Venn...Ch. 3.6 - Two fair dice are tossed, and the following events...Ch. 3.6 - A sample space contains six sample points and...Ch. 3.6 - Use the applet Simulating the Probability of...Ch. 3.6 - On-the-job arrogance and task performance. Human...Ch. 3.6 - World's largest public companies. Forbes (May 6,...Ch. 3.6 - Guilt in decision making. Refer to the Journal of...Ch. 3.6 - Blood diamonds. According to Global Research News...Ch. 3.6 - Do social robots walk or roll? Refer to the...Ch. 3.6 - Shopping with a smartphone. Each year, United...Ch. 3.6 - Identity theft victims. According to The National...Ch. 3.6 - Study of why EMS workers leave the job. Refer to...Ch. 3.6 - Working on summer vacation. Refer to the Harris...Ch. 3.6 - Stock market participation and IQ. Refer to The...Ch. 3.6 - Prob. 3.70ACICh. 3.6 - Ambulance response time. Geographical Analysis...Ch. 3.6 - Working mothers with children. The U S Census...Ch. 3.6 - Firefighters' use of gas detection devices. Two...Ch. 3.6 - Wine quality and soil. The Journal of Wine...Ch. 3.6 - Are you really being served red snapper? Red...Ch. 3.6 - Random shuffling of songs on Spotify. Spotify is a...Ch. 3.6 - Forensic evidence in a criminal court case. In our...Ch. 3.6 - Prob. 3.78ACACh. 3.6 - Prob. 3.79ACACh. 3.6 - Encryption systems with erroneous ciphertexts. In...Ch. 3.7 - Suppose the events B1 and B2 are mutually...Ch. 3.7 - Prob. 3.82LMCh. 3.7 - Prob. 3.83LMCh. 3.7 - Confidence of feedback information for improving...Ch. 3.7 - Fingerprint expertise. A study published in...Ch. 3.7 - Tests for Down syndrome. Currently, there are...Ch. 3.7 - Fish contaminated by a plants toxic discharge....Ch. 3.7 - Errors in estimating job costs. A construction...Ch. 3.7 - Mining for dolomite. Dolomite is a valuable...Ch. 3.7 - Nondestructive evaluation. Nondestructive...Ch. 3.7 - Drug testing in the workplace. In Canada, the...Ch. 3.7 - Intrusion detection systems. The Journal of...Ch. 3.7 - Forensic analysis of JFK assassination bullets....Ch. 3 - Which of the following pairs of events are...Ch. 3 - A sample space consists of four sample points,...Ch. 3 - For two events A and B, suppose P (A) = .7, P (B)...Ch. 3 - A and B are mutually exclusive events, with P (A)...Ch. 3 - Two events, A and B , are independent, with P (A) ...Ch. 3 - Prob. 3.99LMCh. 3 - Prob. 3.100LMCh. 3 - The Venn diagram below illustrates a sample space...Ch. 3 - Use the applet entitled Random Numbers to generate...Ch. 3 - Find the numerical value of a. 6! b. (109) c....Ch. 3 - Management system failures. Refer to the Process...Ch. 3 - Workers unscheduled absence survey. Each year CCH,...Ch. 3 - Ownership of small businesses. According to the...Ch. 3 - Condition of public school facilities. The...Ch. 3 - New car crash tests. Refer to the National Highway...Ch. 3 - Speeding linked to fatal car crashes. According to...Ch. 3 - Choosing portable grill displays. Consider a study...Ch. 3 - Inactive oil and gas structures. U.S. federal...Ch. 3 - Is a product green? A green product (e.g., a...Ch. 3 - Monitoring quality of power equipment. Mechanical...Ch. 3 - Appeals of federal civil trials. The Journal of...Ch. 3 - Characteristics of a new product. The long-run...Ch. 3 - Testing a watch manufacturers claim. A...Ch. 3 - Ranking razor blades. The corporations in the...Ch. 3 - Reliability of gas station air gauges. Tire and...Ch. 3 - Which events are independent? Use your intuitive...Ch. 3 - Home modifications for wheelchair users. The...Ch. 3 - World Cup soccer match draws. Every 4 years the...Ch. 3 - Chance of an Avon sale. The probability that an...Ch. 3 - Drug testing in athletes. When Olympic athletes...Ch. 3 - Profile of a sustainable farmer. Sustainable...Ch. 3 - Evaluating the performance of quality inspectors....Ch. 3 - Using game simulation to teach a course. In...Ch. 3 - Patient medical instruction sheets. Physicians and...Ch. 3 - Detecting traces of TNT. University of Florida...Ch. 3 - The three-dice gambling problem. According to...Ch. 3 - Scrap rate of machine parts. A press produces...Ch. 3 - Chance of winning at craps. A version of the dice...Ch. 3 - Chance of winning blackjack. Blackjack, a favorite...Ch. 3 - Software defects in NASA spacecraft instrument...Ch. 3 - Lets Make a Deal. Marilyn vos Savant, who is...Ch. 3 - Flawed Pentium computer chip. In October 1994, a...Ch. 3 - Exit polls are conducted in selected locations as...Ch. 3 - Define events A and B as follows: A: {Purchase...Ch. 3 - Now define events A and B in this manner: A:...
Additional Math Textbook Solutions
Find more solutions based on key concepts
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
23. A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $120 from the gro...
College Algebra (Collegiate Math)
Provide an example of a qualitative variable and an example of a quantitative variable.
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
(a) Make a stem-and-leaf plot for these 24 observations on the number of customers who used a down-town CitiBan...
APPLIED STAT.IN BUS.+ECONOMICS
Fill in each blank so that the resulting statement is true.
1. The degree of the polynomial function is _____....
Algebra and Trigonometry (6th Edition)
Evaluate the integrals in Exercises 1–46.
1.
University Calculus: Early Transcendentals (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The PDF of an amplitude X of a Gaussian signal x(t) is given by:arrow_forwardThe PDF of a random variable X is given by the equation in the picture.arrow_forwardFor a binary asymmetric channel with Py|X(0|1) = 0.1 and Py|X(1|0) = 0.2; PX(0) = 0.4 isthe probability of a bit of “0” being transmitted. X is the transmitted digit, and Y is the received digit.a. Find the values of Py(0) and Py(1).b. What is the probability that only 0s will be received for a sequence of 10 digits transmitted?c. What is the probability that 8 1s and 2 0s will be received for the same sequence of 10 digits?d. What is the probability that at least 5 0s will be received for the same sequence of 10 digits?arrow_forward
- V2 360 Step down + I₁ = I2 10KVA 120V 10KVA 1₂ = 360-120 or 2nd Ratio's V₂ m 120 Ratio= 360 √2 H I2 I, + I2 120arrow_forwardQ2. [20 points] An amplitude X of a Gaussian signal x(t) has a mean value of 2 and an RMS value of √(10), i.e. square root of 10. Determine the PDF of x(t).arrow_forwardIn a network with 12 links, one of the links has failed. The failed link is randomlylocated. An electrical engineer tests the links one by one until the failed link is found.a. What is the probability that the engineer will find the failed link in the first test?b. What is the probability that the engineer will find the failed link in five tests?Note: You should assume that for Part b, the five tests are done consecutively.arrow_forward
- Problem 3. Pricing a multi-stock option the Margrabe formula The purpose of this problem is to price a swap option in a 2-stock model, similarly as what we did in the example in the lectures. We consider a two-dimensional Brownian motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices are modeled by the following equations: dX = dY₁ = X₁ (rdt+ rdt+0₁dW!) (²)), Y₁ (rdt+dW+0zdW!"), with Xo xo and Yo =yo. This corresponds to the multi-stock model studied in class, but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure P is already the risk-neutral measure (Both stocks have rate of return r). We write σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to exchange one share of X for one share of Y. That is, the option has payoff F=(Yr-XT). (a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for the process Xt. Reminder before proceeding to question (b): Girsanov's theorem…arrow_forwardProblem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forwardThe scores of 8 students on the midterm exam and final exam were as follows. Student Midterm Final Anderson 98 89 Bailey 88 74 Cruz 87 97 DeSana 85 79 Erickson 85 94 Francis 83 71 Gray 74 98 Harris 70 91 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary. Test statistic: rs =arrow_forward
- Business discussarrow_forwardBusiness discussarrow_forwardI just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and What is the p-value of this test? (p-value < 0.001-- incorrect) Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test? p-value < 0.001arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning

College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL


Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Bayes' Theorem 1: Introduction and conditional probability; Author: Dr Nic's Maths and Stats;https://www.youtube.com/watch?v=lQVkXfJ-rpU;License: Standard YouTube License, CC-BY
What is Conditional Probability | Bayes Theorem | Conditional Probability Examples & Problems; Author: ACADGILD;https://www.youtube.com/watch?v=MxOny_1y2Q4;License: Standard YouTube License, CC-BY
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=OByl4RJxnKA;License: Standard YouTube License, CC-BY
Bayes' Theorem - The Simplest Case; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=XQoLVl31ZfQ;License: Standard Youtube License