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business
business statistics for contemporary
Questions and Answers of
Business Statistics For Contemporary
Given P1B12 = 0.15, P1A2 uB12 = 0.60, and P1A2 uB22 = 0.30, what is the probability of P1B1 uA12?
Given P1A12 = 0.32, P1B1 uA12 = 0.70, and P1B1 uA22 = 0.51, what is the probability of P1A2 uB12?
Given P1A12 = 0.80, P1B1 uA12 = 0.55, and P1B1 uA22 = 0.20, what is the probability of P1A1 uB22?
Given P1A12 = 0.38, P1B1 uA12 = 0.87, and P1B1 uA22 = 0.42, what is the probability of P1A1 uB12?
A student feels that 70% of her college courses have been enjoyable and the remainder have been boring.This student has access to student evaluations of professors and finds out that professors who
A manufacturer produces boxes of candy, each containing 10 pieces. Two machines are used for this purpose. After a large batch has been produced, it is discovered that one of the machines, which
Before books aimed at preschool children are marketed, reactions are obtained from a panel of preschool children. These reactions are categorized as favorable, neutral, or unfavorable. Subsequently,
Suppose the students at the Lebanese University, Beirut, can attend advanced math (precalculus) classes during their final year. Records show that among the students who took precalculus during their
Fourty-four percent of a corporation’s blue-collar employees were in favor of a modified health care plan, and 24% of its blue-collar employees favored a proposal to change the work schedule.
An analyst attempting to predict a corporation’s earnings next year believes that the corporation’s business is quite sensitive to the level of interest rates. He believes that, if average rates
At a business school in London, a student club distributes material about membership to new students attending an orientation meeting. Of those receiving this material 66% were women and 42% were
The accompanying table shows proportions of adults in metropolitan areas, categorized as to whether they are public-radio contributors and whether or not they voted in the last election.Voted
The accompanying table shows proportions of computer salespeople classified according to marital status and whether they left their jobs or stayed over a period of 1 year.Time on job Marital Status
A form was circulated among the employees at the Sinopec Group, one of the world’s largest oil refining, gas and petrochemical conglomerate, asking them if they are planning to apply for leaves in
A corporation regularly takes deliveries of a particular sensitive part from three subcontractors. It found that the proportion of parts that are good or defective from the total received were as
Subscribers to a local newspaper were asked whether they regularly, occasionally, or never read the business section and also whether they had traded common stocks (or shares in a mutual fund) over
An analyst at an airline company wants to predict whether the number of passengers for the various cabin classes will decrease, remain the same, or increase over the next year. The following table
A survey carried out for a supermarket classified customers according to whether their visits to the store are frequent or infrequent and whether they often, sometimes, or never purchase generic
Consider two groups of students: B1, students who received high scores on tests, and B2, students who received low scores on tests. In group B1, 20% study more than 25 hours per week, and in group
Consider two groups of athletes: A1, athletes who excel at football, and A2, the athletes who do not excel at football. In A1, 55% of the athletes jog in the morning for more than three days a week,
Consider two groups of students: B1, students who received high scores on tests, and B2, students who received low scores on tests. In group B1, 60% study more than 25 hours per week, and in group
The probability of a sale is 0.50. What are the odds in favor of a sale?
The probability of a sale is 0.80. What are the odds in favor of a sale?
What is the conditional probability that a Masters student prefers Documentaries?
What is the conditional probability a student who prefers Movies/Series is a Bachelors student?
What is the conditional probability that a student who prefers watching News is a Bachelors student?
What is the joint probability that a Bachelors student prefers Documentaries?
What is the joint probability that a Masters student prefers watching News?
What is the joint probability that a Doctoral student prefers Documentaries?
What is the joint probability that a Doctoral student prefers Movies /Series?
An editor may use all, some, or none of three possible strategies to enhance the sales of a book:a. An expensive prepublication promotionb. An expensive cover designc. A bonus for sales
A lawn-care service makes telephone solicitations, seeking customers for the coming season. A review of the records indicates that 15% of these solicitations produce new customers and that, of these
A corporation was concerned with the basic educational skills of its workers and decided to offer a selected group of them separate classes in reading and practical mathematics. Of these workers, 40%
A traffic analyst supervisor wants to examine the worst day and time during a week to commute. He finds that 35% of accidents happen on a Friday and that 23% of the accidents occur at around 2 p.m.
A stock market analyst claims expertise in picking stocks that will outperform the corresponding industry norms. This analyst is presented with a list of 5 high-technology stocks and a list of 5
A conference began at noon with two parallel sessions.The session on portfolio management was attended by 40% of the delegates, while the session on chartism was attended by 50%. The evening session
A bank classifies borrowers as high risk or low risk.Only 15% of its loans are made to those in the highrisk category. Of all its loans, 5% are in default, and 40% of those in default were made to
A football fan wants to predict who would win the Premier League. There is a choice of 4 English and 3 German football clubs. She is asked to predict, in order, the 2 clubs of each league that will
An inspector examines items coming from an assembly line. A review of his record reveals that he accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line
Market research in a particular city indicated that during a week, 18% of all adults watch a television program oriented to business and financial issues, 12%read a publication oriented to these
A coach recruits for a college team a star player who is currently a high school senior. In order to play next year, the senior must both complete high school with adequate grades and pass a
A mail-order firm considers three possible events in filling an order:A: The wrong item is sent.B: The item is lost in transit.C: The item is damaged in transit.Assume that A is independent of both B
A local public action group solicits donations by telephone.For a particular list of prospects it was estimated that for any individual the probability was 0.75 of an immediate donation by credit
A video movie store owner finds that 30% of the customers entering the store ask an assistant for help and that 20% of the customers make a purchase before leaving. It is also found that 15% of all
It was estimated that 60% of all seniors on a campus were seriously concerned about employment prospects, 45% were seriously concerned about grades, and 30% were seriously concerned about both. What
A student in Singapore wants to apply to a business school in Singapore. Suppose there are 5 private and 3 public business schools in the city. She wants to select two schools from each sector.a. How
A cabin crew of a large airline company consists of 2 pilots and 5 flight attendants. The members of the crew are selected out of 10 pilots and 20 flight attendants.a. How many different combinations
You are 1 of 7 female candidates auditioning for 2 parts—the heroine and her best friend—in a play.Before the auditions you know nothing of the other candidates, and you assume all candidates
The senior management of a corporation has decided that in the future it wishes to divide its consulting budget between 5 firms. Eight firms are currently being considered for this work. How many
The soccer league in one community has 7 teams. You are required to predict, in order, the top 5 teams at the end of the season. Ignoring the possibility of ties, calculate the number of different
A student committee has 6 members—4 undergraduate and 2 graduate students. A subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally
A securities analyst claims that, given a specific list of 6 common stocks, it is possible to predict, in the correct order, the 3 that will perform best during the coming year. What is the
A university in Europe wants to award two students for their academic achievements. Based on academic results, 100 students were selected from among whome two will receive the award. The most
A financial analyst was asked to evaluate earnings prospects for nine corporations over the next year, and rank them in order of predicted earnings growth rates.a. How many different rankings are
A company knows that a rival is about to bring out a competing product. It believes that this rival has three possible packaging plans (superior, normal, and cheap)in mind and that all are equally
The probability of A is 0.70, the probability of B is 0.80, and the probability of both is 0.50. What is the conditional probability of A, given B? Are A and B independent in a probability sense?
The probability of A is 0.30, the probability of B is 0.40 and the probability of both is 0.30. What is the conditional probability of A given B? Are A and B independent in a probability sense?
The probability of A is 0.80, the probability of B is 0.10, and the probability of both is 0.08. What is the conditional probability of A, given B? Are A and B independent in a probability sense?
The probability of A is 0.30, the probability of B is 0.70, and the probability of both is 0.20. What is the conditional probability of A, given B? Are A and B independent in a probability sense?
The probability of event E is 0.54, the probability of event F is 0.38, and the probability of both is 0.2. What is the probability of either E and F?
The probability of A is 0.60, the probability of B is 0.40, and the probability of either is 0.76. What is the probability of both A and B?
The probability of A is 0.40, the probability of B is 0.45, and the probability of either is 0.85. What is the probability of both A and B?
The probability of A is 0.30, the probability of B is 0.70, and the probability of either is 0.90. What is the probability of both A and B?
A corporation receives a particular part in shipments of 100. Research indicated the probabilities shown in the accompanying table for numbers of defective parts in a shipment.Number 0 1 2 3 7 3
A department store manager has monitored the number of complaints received per week about poor service.The probabilities for numbers of complaints in a week, established by this review, are shown in
If two events are mutually exclusive, we know that the probability of their union is the sum of their individual probabilities. However, this is not the case for events that are not mutually
A manager has available a pool of 12 employees who could be assigned to a project editorial task. Of the employees seven are women and five are men. Two of the men are brothers. The manager has to
A fund manager is considering investing in a new software firm based in India. The manager’s assessment of probabilities for rates of return on this stock over the next year is summarized in the
Sale manager wants to estimate a probability that a car will be returned for a service during the warranty period. The following table shows a manager’s probability assessment for the number of
In a city of 180,000 people there are 20,000 legal immigrants from Latin America. What is the probability that a random sample of two people from the city will contain two legal immigrants from Latin
In a city of 140,000 people there are 40,000 Norwegians.What is the probability that a randomly selected person from the city will be Norwegian?
The sample space contains 10 As and 6 Bs. What is the probability that a randomly selected set of 4 will include 2 As and 2 Bs?
The sample space contains 8 As and 6 Bs. What is the probability that a randomly selected set of 3 will include 2 As and 4 Bs?
The sample space contains 5 As and 7 Bs. What is the probability that a randomly selected set of 2 will include 1 A and 1 B?
Florin Frenti operates a small, used car lot that has three Mercedes (M1, M2, M3) and two Toyotas (T1, T2).Two customers, Cezara and Anda, come to his lot, and each selects a car. The customers do
Consider Example 3.4, with the following four basic outcomes for the Dow Jones Industrial Average over two consecutive days:O1: The Dow Jones average rises on both days.O2: The Dow Jones average
A corporation takes delivery of some new machinery that must be installed and checked before it becomes available to use. The corporation is sure that it will take no more than 10 days for this
Given A = 3E3, E5, E7, E104 and B = 3E3, E4, E5, E94a. What is the intersection of A and B?b. What is the union of A and B?c. Is the union of A and B collectively exhaustive?
Given A = 3E1, E4, E5, E74 and B = 3E2, E3, E5, E84a. What is A intersection B?b. What is A intersection B?c. What is the union of A and B?d. Is the union of A and B collectively exhaused?
Given A = 3E1, E3, E6, E94 , define A.
the sample space S = 3E1, E2, E3, E4, E5, E6, E7, E8, E9, E10, E114 . Given A = 3E5, E6, E7, E84 and B = 3E5, E7, E9, E114a. What is A intersection B?b. What is the union of A and B?c. Is the union
Management of a local retail outlet in Australia wants to predict weekly online shopping sales. It administers an aptitude test to all sales people, where test scores range from 0 to 10 with greater
To explore the relationship between the grades students receive on their first quiz (X) and their first exam (Y). The first quiz and exam scores for a sample of students reveal the following
How much time (in minutes) do people spend on a typical visit to a local mall? A random sample of n = 104 shoppers was timed and the results (in minutes)are stored in the data file Shopping Times.You
The supervisor of a very large plant obtained the time(in seconds) for a random sample of n = 110 employees to complete a particular task. The data is stored in the data file Completion Times.a. Find
In April 2018, a study was conducted to understandthe role of Twitter. The study showed that Twitter helps business by illustrating the practical implications of a decision, connecting businesses to
The Audit Bureau of Circulations of South Africa a nonprofit company that provides accurate and comparable circulation figures, has released newspaper-circulation statistics for the period
Babbel is a language learning app with around one million users worldwide. The central principle behind Babbel's language learning method is that people should spend a mean of 15 minutes per day
Consider the following four populations:• 2, 3, 4, 5, 5, 6, 7, 8• 1, 1, 1, 4, 5, 7, 7, 14• 2, 4, 4, 5, 5, 8, 8, 4• -9, -3, 0, 3, 9, 12, 13, 15 All these populations have the same mean.
Only 67 students in the data file Student GPA have SAT verbal scores.a. Construct the scatter plot of GPAs and SAT scores for these 67 students.b. Calculate the correlation between GPAs and SAT
The following data represents the age of the students enrolled at a music school and the scores obtained by them in an entrance exam. The scores ranged from 0 to 70. Describe the data numerically.15,
In Example 2.9 we calculated the variance and standard deviation for Location 1 of Gilotti’s Pizzeria restaurants.Use the data in the data file Gilotti’s Pizzeria to find the variance and the
AI Heatlthtech, a growing startup in Sweden, keeps records of charges for its various healthcare services. A random sample of n = 40 charges is stored in the data file HealthTech. Describe the data
A local bus company wants to estimate if the major travel line from a local city to the capitol is a profitable route. The number of passengers and the number of corresponding trips made during a
The president of World Aircraft Association wants to determine if there is a relationship between the number of vacation days provided to cabin crew members of eight airline companies and their
The farmer based in Gujarat, India, wants to determine the relationship between the number of rainy days in August and the amount of rice (kg) sold per month.Data was collected for a 5-year period
A professor at the University of Oulu, Finland, keeps records of the number of hours each student studies and the grades they receive. A random sample of hours studied and test grades for n = 11
The manager of a used-car dealership is very interested in the resale price of used cars. The manager feels that the age of the car is important in determining the resale value. He collects data on
Travel Shaw is an agency based in Bulgaria that employs a group of travel reporters who publish stories based on exciting destinations from around the world.Travel Shaw also offers three destination
According to Statista, in 2016, global retail sales of chocolate amounted to approximately $98.2 billion, making choclates one of the most popular snacks in the world. A random sample of 15 consumers
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