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Introduction To Business Statistics 7th Edition Ronald M. Weiers - Solutions

Dave has been arrested for arson and has been convicted. Edgar is currently being prosecuted for a drug offense. Applying the U.S. Bureau of Justice data in Exercise 5.64, determine the probability that a. Dave will spend more than a year in jail. b. Edgar will be convicted. c. Edgar will spend
A firm has two computer systems available for processing telephone orders. At any given time, system A has a 10% chance of being “down,” while system B has just a 5% chance of being “down.” The computer systems operate independently. For a typical telephone order, determine the probability
An industrial hoist is being used in an emergency job where the weight exceeds the design limits of two of its components. For the amount of weight being lifted, the probability that the upper attachment hook will fail is 0.20. The probability that the lower hook will fail is 0.10. What is the
The following relative frequency distribution describes the household incomes for families living in a suburban community: Income Relative Frequency Less than $20,000........ 0.10 $20,000–under $40,000..... 0.20 $40,000–under $60,000..... 0.30 $60,000–under $80,000..... 0.25 $80,000 or
Collecting data on traffic accident fatalities, the National Highway Traffic Safety Administration has found that 58.7% of the victims have 0.0% blood alcohol content (BAC), 5.8% of the victims have from 0.01 to 0.07% BAC, and 35.5% of the victims have at least 0.08% BAC. For a randomly selected
During fiscal 1995, Ashland Exploration drilled 7 wells in the United States and 3 in Nigeria. One of the wells in Nigeria was productive and 2 of the wells in the United States were productive. The remaining wells were dry. For a well selected at random from those drilled during fiscal 1995,
Avis, Inc., has reported that its fleet consists of 200,000 vehicles. If the vehicles are independent in terms of accident incidence and each has a 0.99999 chance of making it through the year without being in a major accident, what is the probability that the entire fleet will avoid a major
Data from the Federal Bureau of Investigation show that 1 of every 184 motor vehicles was stolen during 2003. Applying this statistic to 5 motor vehicles randomly selected from the nation’s vehicle population: a. What is the probability that none of the 5 motor vehicles will be stolen? b. What is
Of the participants in a corporate meeting, 20% have had Red Cross training in cardiopulmonary resuscitation (CPR). During a break in the session, one participant is randomly selected to go across the street and pick up some hoagies from the local deli. A patron at the deli is stricken by a severe
Of the adults in Jefferson County, 10% have had CPR training. For a randomly selected group of adults from this county, how large would the group have to be in order for the probability that at least one group member has had CPR training to be at least 0.90?
Over the years, a realtor estimates that 50% of those who contact her about a listing end up allowing her to provide a guided tour of the property, 20% of those who take a guided tour follow up with a request for more information about the property, and 2% of those who make the follow-up
According to Sears, two-thirds of U.S. homeowners have an appliance from Sears. In a randomly selected group of three homeowners, what is the probability that all three would have an appliance from Sears? That at least one of the three would have an appliance from Sears?
A computer specialty manufacturer has a two person technical support staff who works independently of each other. In the past, Tom has been able to solve 75% of the problems he has handled, and Adam has been able to solve 95% of the problems he has handled. Incoming problems are randomly assigned
When a machine is properly calibrated, 0.5% of its output is defective, but when it is out of adjustment, 6% of the output is defective. The technician in charge of calibration can successfully calibrate the machine in 90% of his attempts. The technician has just made an attempt to calibrate the
In examining borrower characteristics versus loan delinquency, a bank has collected the following information: (1) 15% of the borrowers who have been employed at their present job for less than 3 years are behind in their payments, (2) 5% of the borrowers who have been employed at their present job
A security service employing 10 officers has been asked to provide 3 persons for crowd control at a local carnival. In how many different ways can the firm staff this event?
A corporate board of directors consisting of 15 persons is to form a subcommittee of 5 persons to examine an environmental issue currently facing the firm. How many different subcommittees are possible?
The chairperson of the accounting department has three summer courses available: Accounting 201, Accounting 202, and Accounting 305. Twelve faculty members are available for assignment to these courses, and no faculty member can be assigned to more than one course. In how many ways can the
A test to compare the taste of 6 soft drinks is being arranged. Each participant will be given 3 of the soft drinks and asked to indicate which one tastes best. a. How many different possibilities exist for the set of soft drinks that a given participant will taste? b. If we consider the order in
A certain brand of bicycle lock requires that each of four adjacent wheels be rotated to exactly the correct position in order to open the lock and separate the chain to which it is attached. If each wheel is labeled with the digits 0 through 9, how many different possibilities are available to the
Ted Thorndike has been with his grandfather’s firm for 5 weeks and is enjoying his job immensely. The elder Thorndike is also pleased—so pleased that he took the morning off to do a little fishing. However, while old Luke is catching some carp, young Ted is catching some flak. At the other end
The contingency tables and relative frequency probabilities in this exercise are based on the Springdale Shopping Survey database. Data are in the computer file SHOPPING. Information like that gained from the two parts of this exercise could provide helpful insights into the nature of the
In the Baldwin Computer Sales case, visited previously in Chapter 3, one of the areas of concern regarding the student purchase program was whether the probability of defaulting on the computer payments might be related to the university attended by the student. Using the BALDWIN data file, first
A manufacturing plant’s main production line breaks down an average of 2.4 times per day. Whenever the line goes down, it costs the company $500 in maintenance, repairs, and lost production. What is the probability that the production line will break down at least 3 times tomorrow? What is the
The company in Exercise 6.50 has disciplined a worker who was suspected of pilfering tools and supplies from the plant. The very next day, the production line broke down 9 times. Management has confronted the union with accusations of sabotage on the line, but the union president says it’s just a
Using your statistical software package:a. Simulate 100 observations from a Poisson distribution having 5 2.35.b. Generate the individual Poisson probabilities for a Poisson distribution having 5 2.35.c. Repeat part (a).d. Repeat part (b).e. When part (a) is repeated, the results are now
Using your statistical software package: a. Simulate 50 observations from a binomial distribution for which n 5 5 and 5 0.2. b. Generate a frequency distribution for these observations. Is the distribution symmetrical? If not, is it positively skewed or negatively skewed? c. Repeat parts (a) and
The owner of a charter fishing boat has found that 12% of his passengers become seasick during a halfday fishing trip. He has only two beds below deck to accommodate those who become ill. About to embark on a typical half-day trip, he has 6 passengers on board. What is the probability that there
During 2007, the crash rate for commuter air carriers was 1.0 per 100,000 flying hours. Assuming this rate continues, what is the probability that there will be no more than one crash in the next 50,000 flying hours?
Bill has to sell three more cars this month in order to meet his quota. Tonight he has after-dinner appointments with five prospective customers, each of whom happens to be interested in a different car. If he has a 30% chance of success with each customer, what is the probability that he will meet
In Exercise 6.56, suppose that three of the customers are interested in the same car, and that they will go elsewhere if it has already been sold. Would it be appropriate to use the binomial distribution under these conditions? Why or why not? In exercise Bill has to sell three more cars this month
During the 2009 tax filing season, 15.8% of all individual U.S. tax returns were prepared by H&R Block. For a random selection of 3 tax returns, describe the probability distribution for x = the number in the sample whose returns were prepared by H&R Block.
Twenty percent of the population of Maryland describe themselves as binge drinkers. For a randomly selected group of 5 Maryland residents, use the appropriate statistical table to describe the probability distribution for x = the number in the sample who describe themselves as binge drinkers.
Determine the mean, variance, and standard deviation of the following discrete probability distribution:
A company has installed five intrusion-detection devices in an office building. The devices are very sensitive and, on any given night, each one has a 0.1 probability of mistakenly sounding an alarm when no intruder is present. If two or more of the devices are activated on the same night, the
A mining company finds that daily lost-work injuries average 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?
Unknown to a quality-control inspector, 20% of a very large shipment of electric switches are defective. The inspector has been told to reject the shipment if, in a sample of 15 switches, 2 or more are defective. What is the probability that the shipment will be rejected?
Repeat Exercise 6.29, but under the assumption that there are only 20 bearings in the supply bin, 2 of which are defective.In exerciseFour wheel bearings are to be replaced on a company vehicle, and the mechanic has selected the four replacement parts from a large supply bin.
A town council includes 10 Democrats and 15 Republicans. In response to a developer’s request for a variance that would allow her to build a convenience store in an area of town currently zoned as residential, the mayor is going to randomly select 5 council members for a committee to examine the
Fred and Emily are among the 50 finalists in a lottery in which 5 winners will be randomly selected to receive a free vacation in Hawaii. Using the hypergeometric distribution, determine the probability that exactly one of these two individuals will win a free vacation.
Seven of the 15 campus police officers available for assignment to the auditorium in which a local politician is to speak have received advanced training in crowd control. If 5 officers are randomly selected for service during the speech, what is the probability that exactly 2 of them will have had
A producer of copper tubing has found that, on the average, five flaws occur per 2000 feet of tubing. The tubing is sold in continuous rolls of 200 feet each. What is the probability that a randomly selected 200-foot roll will have no flaws?
A large plumbing contractor buys eight 200-foot rolls from the producer described in Exercise 6.67. Determine the probability that no more than three of the eight rolls will be flawless.In exerciseA producer of copper tubing has found that, on the average, five flaws occur per 2000 feet of tubing.
In 2004, 50% of all U.S. families had a net worth less than $93,000. What is the probability that exactly three of a randomly selected sample of five families would have a net worth less than $93,000?
Determine the mean, variance, and standard deviation of the following discrete probability distribution:
A trucking company has found that its trucks average 0.2 breakdowns during round trips from New York to Los Angeles.a. What is the probability that a single truck will make the complete trip without experiencing a breakdown?b. If 3 trucks are assigned to a NY/LA round trip, what is the probability
The Bureau of Labor Statistics says that baggage handlers, trash haulers, and coal miners are among the occupations having the highest risk of a debilitating injury or illness. For coal miners working over the course of a year, the injury rate has been reported as 3.6 injuries per 100 coal miners.
According to the U.S. Centers for Disease Control and Prevention, Americans 85 years of age and older experience flu-associated respiratory and circulatory illness at an annual rate of approximately 1200 cases per 100,000 persons. If a rural county has 500 seniors in this age group, what is the
Although they have no commercials, public television stations periodically conduct campaigns during which programming is occasionally interrupted by appeals for subscriber donations. A local public television station has found that, during these breaks, the number of calls averages 3 per minute. It
A gorilla once made headlines in 400 newspapers and appeared on three national television shows after correctly “selecting” the winner of 13 out of 20 football games. He had made his “choice” for each game by grabbing one of two pieces of paper on which the names of the teams were written.
It has been estimated that over 90% of the world’slarge corporations are actively involved in data warehousing. Using the 90% figure, and considering a random sample of 10 large corporations, what is the probability that at least 7 of them are actively involved in data warehousing?
A country club has found that the number of complete rounds played by a member during a given outing averages 1.3 rounds. What is the probability that a golfer selected at random will complete at least 2 rounds of golf on his or her next outing?
A computer manufacturer that sells notebook computers directly to customers has been having problems with one of its models—it seems that about 10% of the units are inoperable upon arrival to the customer. They are functional when tested at the factory, but there is some problem associated with
It has been estimated that 5% of people who are hospitalized pick up infections while in the hospital, and that 2.2 million people a year get sick and 88,000 die because of these infections. Experts advise patients to be sure that health care personnel have washed their hands, to select surgeons
A tire manufacturer has advertised that only 2% of its tires have surface blemishes. Further, the manufacturer argues that tires with such blemishes are perfectly safe, and with only the physical appearance suffering very slightly. A consumer magazine randomly purchases 40 of the tires for an
Ed Tompkins, the assistant dean of a business school, has applied for the position of dean of the school of business at a much larger university. The salary at the new university has been advertised as $200,000, and Ed is very excited about this possibility for making a big career move. He has been
J.D. Power and Associates’ Initial Quality Study reports that the industry-average problem rate for vehicles is 108 problems per 100 vehicles. The highest rated brand was Lexus, with a rate of just 84 problems per 100 vehicles. On the other hand, BMW’s Mini was reported as having 165 problems
Scam artists sometimes “stage” accidents by purposely walking in front of slow-moving luxury cars whose drivers are presumed to carry large amounts of liability insurance. The “victim” then offers to accept a small monetary cash settlement so the driver can avoid an insurance claim, a blot
Arriving at the office a bit early, Ted finds Luke Thorndike in a fit of rage. Mr. Thorndike is sipping coffee and looking over Ted’s notes on the defective racquets that were constructed with aluminum purchased from each of the company’s three suppliers. In rummaging through the basement
A regional manager visits local fast-food franchises and evaluates the speed of the service. If the manager receives her meal within 45 seconds, the server is given a free movie-admission coupon. If it takes more than 45 seconds, the server receives nothing. Throughout the company’s franchises,
A consultant has presented his client with three alternative research studies that could be conducted. If the client chooses alternative a, the consultant will have to hire 1 additional employee. Two new employees will have to be hired if the client chooses b, and 5 if the client chooses c. The
A contractor must pay a $40,000 penalty if construction of an expensive home requires more than 16 weeks. He will receive a bonus of $10,000 if the home is completed within 8 weeks. Based on experience with this type of project, the contractor feels there is a 0.2 chance the home will require more
A music shop is promoting a sale in which the purchaser of a compact disk can roll a die, then deduct a dollar from the retail price for each dot that shows on the rolled die. It is equally likely that the die will come up any integer from 1 through 6. The owner of the music shop pays $5.00 for
Laura McCarthy, the owner of Riverside Bakery, has been approached by insurance underwriters trying to convince her to purchase flood insurance. According to local meteorologists, there is a 0.01 probability that the river will flood next year. Riverside€™s profits for the coming year depend on
In 2007, nearly 24 million tons of steel mill products went to construction and contracting companies. Transco Steel, a hypothetical manufacturer specializing in the production of steel for this market, is faced with aging production facilities and is considering the possible renovation of its
What is necessary for a process to be considered a Bernoulli process?
Seven trials are conducted in a Bernoulli process in which the probability of success in a given trial is 0.7. If x = the number of successes, determine the following:a. E(x)b. σxc. P(x = 3)d. P(2 ≤ x ≤ 8)e. P(x >3)
Twelve trials are conducted in a Bernoulli process in which the probability of success in a given trial is 0.3. If x = the number of successes, determine the following:a. E(x)b. σxc. P(x = 3)d. P(2 ≤ x ≤ 8)e. P(x > 3)
Indicate whether each of the following random variables is discrete or continuous. a. The diameter of aluminum rods coming off a production line b. The number of years of schooling employees have completed c. The Dow Jones Industrial Average d. The volume of milk purchased during a supermarket visit
A city law-enforcement official has stated that 20% of the items sold by pawn shops within the city have been stolen. Ralph has just purchased 4 items from one of the city’s pawn shops. Assuming that the official is correct, and for x 5 the number of Ralph’s purchases that have been stolen,
The regional manager in Exercise 6.10 plans to evaluate the speed of service at five local franchises of the restaurant. For the five servers, determine the probability that a. none will receive a movie coupon. b. two of the five will receive a coupon. c. three of the five will receive a coupon. d.
According to the National Marine Manu facturers Association, 50.0% of the population of Vermont were boating participants during the most recent year. For a randomly selected sample of 20 Vermont residents, with the discrete random variable x = the number in the sample who were boating participants
In the town of Hickoryville, an adult citizen has a 1% chance of being selected for jury duty next year. If jury members are selected at random, and the Anderson family includes three adults, determine the probability that a. none of the Andersons will be chosen. b. exactly one of the Andersons
It has been reported that the overall graduation rate for football players at Division I-A colleges and universities is 65%. a. If five players are randomly selected from the entire population of Division I-A football players, what is the probability that at least 2 of the 5 will graduate? b. In
An association of coffee producers has estimated that 50% of adult workers drink coffee at least occasionally while on the job. Given this estimate: a. For a randomly selected group of 4 adult workers, what is the probability that no more than 3 of them drink coffee at least occasionally while on
The U.S. Department of Labor has reported that 30% of the 2.1 million mathematical and computer scientists in the United States are women. If 3 individuals are randomly selected from this occupational group, and x = the number of females, determine P(x = 0), P(x = 1), P(x = 2), and P(x = 3).
Alicia’s schedule includes three Tuesday/Thursday courses in which each professor uses a single coin flip to decide whether to give a short quiz each class day. Alicia is active on the university’s student advisory council, works two part-time jobs, and is helping to build a float for the
OfficeQuip is a small office supply firm that is currently bidding on furniture and office equipment contracts with four different potential customers who are of comparable size. For each contract, OfficeQuip would gain a profit of $50,000 if that contract were accepted, so the company could make
Four wheel bearings are to be replaced on a company vehicle, and the mechanic has selected the four replacement parts from a large supply bin. Unknown to the mechanic, 10% of the bearings are defective and will fail within the first 100 miles after installation. What is the probability that the
Indicate whether each of the following random variables is discrete or continuous. a. The number of drive-through customers at your local McDonald’s today b. The amount spent by all customers at the local McDonald’s today c. The time, as reported by your digital watch d. The length of a
It has been estimated that one in five Americans suffers from allergies. The president of Hargrove University plans to randomly select 10 students from the undergraduate population of 1400 to attend a dinner at his home. Assuming that Hargrove students are typical in terms of susceptibility to
Airlines book more seats than are actually available, then “bump” would-be passengers whenever more people show up than there are seats. Through the first quarter of 2009, the rate at which passengers were bumped was 1.40 per 1000 passengers. Assuming that, on average, the probability of any
Every day, artists at Arnold’s House of Fine Figurines produce 5 miniature statues that must be sanded and painted. Past experience has shown that 10% of the statues have a defect that does not show up until after the statue has been sanded and painted. Whenever a statue is found to have this
Under what circumstances should the hypergeometric distribution be used instead of the binomial distribution?
Using the hypergeometric distribution, with N = 4, n = 2, and s = 3, determine the following:a. P(x = 0)b. P(x = 1)c. P(x = 2)
Using the hypergeometric distribution, with N = 5, n = 2, and s = 3, determine the following: a. P(x = 0) b. P(x = 1) c. P(x = 2)
In a criminal trial, there are 25 persons who have been approved by both parties for possible inclusion in the eventual jury of 12. Of those who have been approved, there are 14 women and 11 men. If the judge forms the final jury of 12 by randomly selecting individuals from the approved listing,
A computer firm must send a group of three specialists to give a technical presentation to a potential customer. Five such individuals are anxious to attend, but only two are considered to have strong interpersonal skills. Since the specialists have equal levels of seniority, they have agreed to
Unknown to a rental car office, 3 of the 12 subcompact models now available for rental are subject to a safety recall soon to be announced by the National Highway Traffic Safety Administration. Five subcompacts will be rented today, and the cars will be randomly selected from those available in the
For a discrete random variable that is Poisson distributed with (= 2.0, determine the following: a. P(x = 0) b. P(x = 1) c. P(x ≤ 3) d. P(x ≥ 2)
For a discrete random variable that is Poisson distributed with (= 9.6, determine the following: a. P(x = 7) b. P(x = 9) c. P(x ≤ 12) d. P(x ≥ 10)
In 2006, there were about 490 motor vehicle thefts for every 100,000 registrations. Assuming (1) a Poisson distribution, (2) a community with a comparable theft rate and 1000 registered motor vehicles, and (3) x = the number of vehicles stolen during the year in that community, determine the
Arrivals at a walk-in optometry department in a shopping mall have been found to be Poisson distributed with a mean of 2.5 potential customers arriving per hour. If x 5 number of arrivals during a given hour, determine the following: a. E(x) b. P(x = 1) c. P(x = 3) d. P(x ≤ 5) e. P(2 ≤ x ≤ 6)
The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and is Poisson distributed and that x = the number of divorces in this community during the coming year, determine the following: a. E(x) b. P(x =
During the 12 p.m.–1 p.m. noon hour, arrivals at a curbside banking machine have been found to be Poisson distributed with a mean of 1.3 persons per minute. If x = number of arrivals during a given minute, determine the following: a. E(x) b. P(x = 0) c. P(x = 1) d. P(x ≤ 2) e. P(1 ≤ x ≤ 3)
During the winter heating season in a northern state, Howard’s Heating and Cooling Service receives an average of 3.1 emergency service calls per day from heating customers in their area. Howard has increased personnel and equipment resources to better handle such calls, and his company is now
Over the past year, a university’s computer system has been struck by a virus at an average rate of 0.4 viruses per week. The university’s information technology managers estimate that each time a virus occurs, it costs the university $1000 to remove the virus and repair the damages it has
According to the Mortgage Bankers Association of America, the foreclosure rate on home mortgages in 2007 was 2%. Assuming that this rate is applicable to a community where 500 homes have mortgages, use the Poisson approximation to the binomial distribution to determine the following for x = the
The Federal Aviation Administration reports that American Airlines got 6.06 complaints of mishandle baggage per 1000 passengers in 2008. Assuming this rate applies to the next 500 passengers who depart from Portland, Oregon, on American Airlines flights, what is the probability that at least 5
Taxicab drivers are more likely to be murdered on the job than members of any other occupation, even police officers and security guards. The annual murder rate for cab drivers is 30.0 homicides per 100,000 workers, compared to just 0.6 per 100,000 for all occupations. Assume that taxicab companies

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