
EBK STATISTICS FOR BUSINESS AND ECONOMI
13th Edition
ISBN: 8220103633567
Author: Sincich
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 3.101LM
The Venn diagram below illustrates a
- a. Find P(A∩B), P(B∩C) , P(A∪C), P(A∪B∪C), P(Bc), P(Ac∩B), P(B|C) , and P (B|A).
- b. Are A and B independent? Mutually exclusive? Why?
- c. Are B and C independent? Mutually exclusive? Why?
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabric
Une Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses
programmeurs-analystes d'évaluer la performance des cadres supérieurs.
Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une
excellente performance. 10 programmeurs furent sélectionnés au hazard pour
évaluer deux cadres. Un rapport Excel est également fourni.
Programmeurs
Cadre A Cadre B
1
34
36
2
32
34
3
18
19
33
38
19
21
21
23
7
35
34
8
20
20
9
34
34
10
36
34
Test d'égalité des espérances: observations pairées
A television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?
Chapter 3 Solutions
EBK STATISTICS FOR BUSINESS AND ECONOMI
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:...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Similar questions
- You’re fed up with keeping Fido locked inside, so you conduct a mail survey to find out people’s opinions on the new dog barking ordinance in a certain city. Of the 10,000 people who receive surveys, 1,000 respond, and only 80 are in favor of it. You calculate the margin of error to be 1.2 percent. Explain why this reported margin of error is misleading.arrow_forwardYou find out that the dietary scale you use each day is off by a factor of 2 ounces (over — at least that’s what you say!). The margin of error for your scale was plus or minus 0.5 ounces before you found this out. What’s the margin of error now?arrow_forwardSuppose that Sue and Bill each make a confidence interval out of the same data set, but Sue wants a confidence level of 80 percent compared to Bill’s 90 percent. How do their margins of error compare?arrow_forward
- Suppose that you conduct a study twice, and the second time you use four times as many people as you did the first time. How does the change affect your margin of error? (Assume the other components remain constant.)arrow_forwardOut of a sample of 200 babysitters, 70 percent are girls, and 30 percent are guys. What’s the margin of error for the percentage of female babysitters? Assume 95 percent confidence.What’s the margin of error for the percentage of male babysitters? Assume 95 percent confidence.arrow_forwardYou sample 100 fish in Pond A at the fish hatchery and find that they average 5.5 inches with a standard deviation of 1 inch. Your sample of 100 fish from Pond B has the same mean, but the standard deviation is 2 inches. How do the margins of error compare? (Assume the confidence levels are the same.)arrow_forward
- A survey of 1,000 dental patients produces 450 people who floss their teeth adequately. What’s the margin of error for this result? Assume 90 percent confidence.arrow_forwardThe annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density…arrow_forwardFind binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than…arrow_forward
- please answer these questionsarrow_forwardSelon une économiste d’une société financière, les dépenses moyennes pour « meubles et appareils de maison » ont été moins importantes pour les ménages de la région de Montréal, que celles de la région de Québec. Un échantillon aléatoire de 14 ménages pour la région de Montréal et de 16 ménages pour la région Québec est tiré et donne les données suivantes, en ce qui a trait aux dépenses pour ce secteur d’activité économique. On suppose que les données de chaque population sont distribuées selon une loi normale. Nous sommes intéressé à connaitre si les variances des populations sont égales.a) Faites le test d’hypothèse sur deux variances approprié au seuil de signification de 1 %. Inclure les informations suivantes : i. Hypothèse / Identification des populationsii. Valeur(s) critique(s) de Fiii. Règle de décisioniv. Valeur du rapport Fv. Décision et conclusion b) A partir des résultats obtenus en a), est-ce que l’hypothèse d’égalité des variances pour cette…arrow_forwardAccording to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region. A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector. It is assumed that the data from each population are distributed normally. We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information: i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld? c) Based on the results obtained in a),…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage

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

Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY