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Business Statistics 2nd Edition Robert A. Donnelly - Solutions

A local car dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot that can be classified as either cars or trucks. The following data are available:Twentysix vehicles are cars.Eleven vehicles are GMs.Fifteen vehicles are Fords.Three vehicles are both Toyotas and
The following table shows the frequencies that the Green Bay Packers of the NFL called a running play or a passing play for various down and distance situations for the first five games of a recent season. (Yes, I actually counted these frequencies myself.)What is the probability that the Packers
A recent Wall Street Journal poll found that 70% of Americans felt the U. S. government was not working well. If seven people were randomly selected, what is the probability that all seven felt the government is not work-ing well?
The following table shows the number of people, in thou-sands, in the United States with and without health insurance in 2011, according to the U. S. Census Bureau:a. What percentage of the U. S. population in 2011 did not have health insurance and was between the ages of 18 to 24 years?b. What
A single card is drawn from a standard 52card deck. What is the probability that the card is eithera. A king, or a four, or a fiveb. A diamond, or a heart, or clubc. A two, or a three, or a clubd. A six, or a seven, or a spade, or a diamond
The following table shows the number of men and women, in thousands, enrolled in degreegranting institu-tions in the United States in 2010. The men and women are categorized by their age groups.Determine the probability that a randomly selected studenta. Was a femaleb. Was 22 to 24 years oldc. Was
A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The following table shows the fre-quency of each rating as well as the gender of the customer.Determine the probability that a randomly selected customera. Rated his or her stay as Excellentb. Rated his or her stay
Super D is a major video distributor that purchases blank DVDs from two sources: Disk Makers, which provides 62% of the DVDs, and Media Supply, which provides the remaining 38%. Historically, 3% of the DVDs Super D has purchased from Disk Makers have been defective, whereas 2% of the DVDs purchased
Consider the experiment of rolling two dice. a. What is the probability of obtaining a sum of seven? b. What is the probability of obtaining a sum of three or less? c. What is the probability of obtaining a sum of ten or more?
A sporting goods company operates retail stores in the New York and Atlanta areas. Customers were asked to rate their shopping experiences, the results of which are summarized in the following table:Shopping Experience
If the order of objects is not of importance, how many ways can I select eight objects three at a time? Why is this result different from Problem 4.31?
If the order of objects is not of importance, how many ways can I select nine objects two at a time? Why is this result different from Problem 4.32?
What is the probability of being dealt a full house (three of a kind and a pair) in five card poker?
Indicate whether classical, empirical, or subjective probability should be used to determine each of the following: a. The probability that the Green Bay Packers will make the playoffs this year. b. The probability that no students will be absent from my next statistics class.c. The probability
Identify which of the following values are valid and not valid numbers for a probability: a. 2.1b. 4/4c.76%d. 0.8e. 9/8f.110% g. –1/3 h. 1 i. 0.007
Consider the experiment of rolling two dice. a. What is the probability of obtaining a sum of eight? b. What is the probability of obtaining a sum of eight or less? c. What is the probability of obtaining a sum of four or more?
A survey was conducted in which 150 households were asked how many working televisions they owned. The results are as follows:a. What is the probability that a randomly selected household has one television? b. What is the probability that a randomly selected household has more than two
A recent survey administered by ZoneDiet. com asked 1,000 adults, “ How far are you from your ideal weight?” The results are shown in the following table:Response Frequency1– 5 lbs
The following table indicates the frequency of laptops sold per day at a local Best Buy store during a particular time period. During the period, there were never any days in which more than seven laptops were sold.Daily Demand Frequency0
A local university has a student population that is 57% male. Sixty four percent of the students are undergraduates; 40% are both male and undergraduates.a. What is the probability that a randomly selected student is both female and an undergraduate?b. What is the probability that a randomly
The airline industry defines an on time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on time and late flights leaving Philadelphia and arriving in Orlando during a recent time period by airline:a. What is the probability that a
A test has multiple choice questions, with four choices of answers from which to choose. After reading the first four questions, you realize you have no idea what any of the correct answers are. Assume you randomly guess at the answers for all four questions.a. What is the probability that you
The following table shows the number of students who earned an A, B, C, and D grade in a business statistics class along with their year in their program.a. What percentage of students in this class are juniors?b. What percentage of students in this class earned a B grade?c. What percentage of
In college basketball, a turnover is defined as losing possession of the basketball to the opposing team without scoring a basket. In theory, reducing the number of turnovers increases the likelihood of winning a game. The following table categorizes the number of wins and losses by the number of
A survey was conducted in which 125 families were asked how many cats lived in their households. The results are as follows:Number of Cats Number of Households0 ………………………………………..
A snack food company produces potato chips on three different production lines. Line 1 produces 20% of the total output, Line 2 produces 30%, and Line 3 produces the balance. Each line is sampled to ensure the salt content is within the proper range. Historically, 4% of Line 1’s output does not
A computer program consists of 1,000 lines of code. For the program to work properly, all 1,000 lines must be correct. Assume that the probability of any line of code being correct is 0.9999. a. What is the probability that the program will work properly? b. What assumptions do you need to
According to Internet World Stats, 79% of North American adults used the Internet in 2012. If five people are randomly chosen, what is the probability that all five use the Internet?
A call center for customer support records the time each customer requires for service and whether the call occurred during the week (Monday through Friday) or during the weekend (Saturday and Sunday). The results are shown in the following table:Determine the probability that a randomly selected
Ann is the owner of Pizzas R Us, a small company that delivers pizza from two different locations. The Mayfair site handles 40% of the total orders while the Claymont location delivers the remaining orders. In its promotional materials, Pizzas R Us strives to deliver all orders within 45 minutes.
A multiple choice test has 10 questions, with each question having four choices. a. How many different ways can a student answer the 10 questions? b. What is the probability that a student who randomly answers each question will answer all of them correctly?
My bank requires me to establish a four digit pin number for my debit card.a. How many possible pin numbers can I choose from?b. What is the probability that someone can correctly guess my pin number?
A total of 200 adults responded to a survey asking them to name their favorite national park. The relative frequencies are as follows:a. What percentage of respondents chose the €œOther€ category? b. How many respondents selected Yellowstone? c. How many respondents selected either Yosemite
The NFL has 32 teams that are evenly divided into two conferences, the NFC and the AFC. One team from each conference will play in the Super Bowl to determine the NFL champion.a. How many unique pairs of teams exist that can play in the Super Bowl?b. Do you have enough information from this problem
The following table shows the frequencies of executives’ salary ranges at a particular organization:Salary Range FrequencyUnder $
Braun Research recently surveyed U.S. adults about the number of cups of coffee they drink per day and per week. The percentages are as follows:Number of Cups PercentageTwo or more cups a day …….
Consider the following discrete probability distribution:Outcome Probability0 ……………….. 0.061 ……………….. 0.112 ……………….
Consider a binomial probability distribution with p = 0.60 and n = 7. Determine the following probabilities:a. P(x = 2)b. P(x < 1)c. P(x > 5)
Consider a binomial probability distribution with p = 0.35 and n = 8. Determine the following probabilities:a. Exactly three successesb. Less than three successesc. Six or more successes
Consider a binomial probability distribution with p = 0.25. Determine the probability of exactly four successes for the following conditions:a. n = 5b. n = 7c. n = 10
Consider a binomial probability distribution with p = 0.65 and n = 15. Determine the mean and standard deviation of this distribution.
If a student estimated that the probability of correctly answering each question in a multiple choice question is 80%, use the binomial tables to determine the probability of earning at least a 70% grade on a 20 question exam.
A recent survey taken by Adecco of 1,047 employees found that 28% of them would lay off their bosses if they could. Answer the following questions based on a random sample of 10 employees:a. What is the probability that exactly three employees would lay off their bosses?b. What is the probability
A hotel claims that 90% of its customers are very satisfied with its service. Answer the following questions based on a random sample of eight customers:a. What is the probability that exactly seven customers are very satisfied?b. What is the probability that more than seven customers are very
The budgeting Web site HelloWallet reported that 25% of U. S. households have withdrawn money from a 401(k) or other retirement account for needs other than retirement in 2013. A random sample of 11 U. S. households was selected.a. What is the probability that exactly two households withdrew funds
According to a survey by Apartments.com, 35% of apartment renters in 2013 had owned a home at one point. Consider a random sample of nine apartment renters.a. What is the probability that exactly three renters from this sample previously owned a home?b. What is the probability that less than four
According to Catalyst, based on a survey of Fortune 500 companies, 14% of Executive Officer positions in 2012 were female. Answer the following questions based on a random sample of 12 corporate officers:a. What is the probability that one corporate officer was female?b. What is the probability
Consider the following discrete probability distribution:Outcome Probability1 ……………………. 0.182 …………………….
An ecommerce Web site claims that 6% of people who visit the site make a purchase. Answer the following questions based on a random sample of 15 people who visited the Web site.a. What is the probability that none of the people will make a purchase?b. What is the probability that less than three
According to IDC, 70% of smartphones in the world use Google’s Android operating system in the fourth quarter of 2012. Answer the following questions based on a random sample of 14 smartphone users.a. What is the probability that exactly nine people from this sample have a smartphone using the
Consider a Poisson probability distribution with l = 3.0. Determine the following probabilities.a. P(x = 3)b. P(x < 2)c. P(x > 4)
Consider a Poisson probability distribution with l = 4.7. Determine the following probabilities.a. exactly five occurrencesb. more than six occurrencesc. three or fewer occurrences
Consider a Poisson probability distribution. Determine the probability of exactly four occurrences for the following conditions:a. l = 2.0b. l = 3.0c. l = 4.0d. What conclusions can be made about how these probabilities change with l?
Assume the number of births in a local hospital follows a Poisson distribution and averages 2.6 per day.a. What is the probability that no births will occur today?b. What is the probability that less than four births will occur today?c. What is the probability that more than one birth will occur
Sara is a salesperson for Camera’s Etc. which is a retailer for high end digital cameras. Historically, Sara has averaged selling 2.1 extended warranties per day for cameras that she sells. Assume the number of camera warranties that Sara sells per day follows the Poisson distribution.a. What
A particular intersection in Delaware is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 4.5 per month.a. What is the probability that seven traffic tickets will be issued at the
A customer support center for a computer manufacturer receives an average of 1.5 phone calls every 5 minutes. Assume the number of calls received follows the Poisson distribution.a. What is the probability that no calls will arrive during the next 5 minutes?b. What is the probability that three or
Consider the following discrete probability distribution:Outcome Probability10 ……………………… 0.1015 ………………………
Production records indicate that 1.5% of the light bulbs produced in a facility are defective. A random sample of 22 light bulbs was selected.a. Use the binomial distribution to determine the probability that two defective bulbs are found.b. Use the Poisson approximation to the binomial
Research in Motion (RIM) developed the Blackberry cell phone that was widely adopted by businesses for their employees. However, with the increase in popularity of Apple’s iOS and Google’s Android operating systems for mobile devices, sales of Blackberry devices have declined recently. The
Consider a hypergeometric probability distribution with n = 5, R = 6, and N = 12. Calculate the following probabilities:a. P(x = 3)b. P(x = 2)c. P(x < 1)d. Calculate the mean and standard deviation of this distribution.
Consider a hypergeometric probability distribution with n = 3, R = 5, and N = 9. Calculate the following probabilities:a. P(x = 0)b. P(x > 1)c. P(x < 3)d. Calculate the mean and standard deviation of this distribution.
An urn contains six blue balls and eight yellow balls. If four balls are selected randomly without being replaced, what is the probability that of the balls selected, three of them will be blue and one of them will be yellow?
I find a bowl of Christmas M& M’s (only red and green) that Deb has hidden from me in the house one day. I quickly grab a handful before being caught. Before shoving them into my mouth to get rid of the evidence, I notice that I have selected six red M& M’s and no green ones. Let’s
White boxers are dogs that have a genetic disposition for going deaf within the first year after they are born. Suppose a litter of nine white boxer puppies contained two dogs that would eventually experience deafness. A family randomly selected two puppies from this litter to take home as family
A political committee consists of seven Democrats and five Republicans. A subcommittee of six people needs to be formed from this group. Determine the probability that this subcommittee will consist of the following:a. Two Democrats and four Republicans if they were randomly selectedb. Four
I have a statistics class of 20 students, of whom 12 are female. I randomly select three students to make a group presentation to the class. What is the probability of the following occurring?a. All of the students in the group are male.b. One of the students in the group is male.c. Two of the
AIG, an international insurance and financial services organization, recently announced that the performance of employees would be rated on a scale from 1 to 4. The top 10% of employees would receive a 1 rating, 20% of the employees would be rated with a 2, and 50% would be rated with a 3. The
The following table provides five different distributions for the daily demand for loaves of sourdough bread at a local bakery. Identify which distributions are valid discrete probability distributions and which ones are not. Explain your answers.
The following distribution list displays the number of no shows for a particular Delta Airlines flight and the historical probability that each number of no shows will occur. A no show is a person who has a reservation for a flight but fails to arrive prior to its departure.No Shows
A survey was conducted to determine the number of cats living in individual households. The results are summarized in the following table:Number of Cats Probability0 ………………… 0.371 ………………… 0.282
I am currently teaching two statistics classes, one at 8: 00 a. m. and the other at 10: 00 a. m. The following table summarizes my attendance records by showing the probability of the number of absent students per class:a. Calculate the mean number of students absent for each class.b. Calculate the
Travel insurance reimburses travelers for the cost of their trips if the trips are canceled for a variety of reasons. If a $ 10,000 policy costs $ 400 and you estimate that there is a 3% chance your trip will be canceled, should you purchase the insurance?
An investor has two portfolios to consider. Portfolio A is more heavily invested in bonds, whereas Portfolio B contains more stocks. The following table provides the annual returns for both portfolios under three different market conditions as well as the probability for each market condition in
Tees R Us, which manufactures and sells T-shirts for sporting events, is providing shirts for an upcoming tournament. Each shirt will cost $ 10 to produce and will be sold for $ 16. Any unsold shirts left over at the end of the tournament can be sold for $ 5 apiece in the near future. Tees R Us
The following table shows Bob’s Bookstore’s estimated demand for a new calendar. The bookstore needs to decide whether to order 100, 200, or 300 calendars for the start of the year. Each calendar costs the store $ 6 to purchase and can be sold for $ 14. The store can sell any unsold calendars
At the start of each Super Bowl, the NFL championship game between the winners of the NFC and AFC, a coin toss determines the team that will receive the opening kickoff. The NFC team won the coin toss 14 straight years from 1998 until 2011. Determine the probability of one team winning this coin
A recent survey found that only 45% of Americans were satisfied with their current jobs. Answer the following questions based on a random sample of 15 American workers:a. What is the probability that exactly six employees were satisfied with their current jobs?b. What is the probability that
A foreclosure is a legal process that a lender uses to recover the balance of a mortgage owed by a homeowner who has stopped making payments. An unusually high volume of foreclosures occurred during the most recent recession, and as a result, errors were made in the foreclosure process to a
A survey recorded the number of children 18 years old or younger who lived in 200 households. The following table shows the results:Number of Children Number of Families0 ……………………………..
The Center for Disease Control and Prevention estimated that 37% of Americans received a flu shot during the winter of 2012– 2013. A random sample of seven Americans was selected.a. What is the probability that exactly four people from this sample received a flu shot that winter?b. What is the
A golfer claims that 80% of the time, he will score less than 90 on the golf course he normally plays. Consider his next 10 rounds of golf.a. What is the probability that he will score lower than 90 on all 10 rounds?b. What is the probability that he will score lower than 90 on eight or more
In 2012, 79% of Southwest Airlines flights arrived at their destinations on time. Suppose a random sample of 12 Southwest Airlines flights was selected.a. What is the probability that all 12 flights were on time?b. What is the probability that more than nine flights were on time?c. What is the
According to the NPD Group, 70% of the basketball shoes purchased by American men are never worn on a basketball court. Answer the following questions based on a random sample of 13 men who purchased basketball shoes:a. What is the probability that 12 men will not use their shoes on a basketball
According to the University Business Officers, 86% of first time, fulltime freshman at private colleges were the recipients of some form of financial aid in 2011. A random sample of six freshmen in 2011 was selected.a. What is the probability that all six freshmen from this sample received
Regifting is defined as the act of taking a gift that has been given to you and presenting it as a gift to someone else. According to survey conducted by American Express regarding consumer spending, 79% of the respondents felt that it was socially acceptable to re-gift during the holiday season
When iPhone was first released in 2007, Google Maps was the default mapping software that was included in Apple’s mobile operating system. In September 2012, Apple released an upgraded operating system for the iPhone which replaced Google Maps with its own newly developed Apple Maps.
According to the Pew Research Center, 23% of American adults read an ebook during 2012. A random sample of nine adults was selected.a. What is the probability that exactly two adults from this sample read an ebook last year?b. What is the probability that less than four adults from this sample read
According to the Graduate Management Admission Council, applications to two year MBA programs have been on the decline during the past few years. A survey during 2012 reported that 62% of U. S. schools experienced fewer applications when compared to 2011. A random sample of eight U. S. schools with
A first draft of a 400 page manuscript has 36 typos that are spread randomly across the pages. Assume the number of typos per page follows the Poisson distribution.a. What is the probability that there is one typo in the first 10 pages?b. What is the probability that there is one typo in the first
Steve Blass owns two fast food restaurants in Delaware: one located in Stanton and another located in Newark. Steve has recorded customer satisfaction ratings for both locations on a scale of 1 to 5 (5 = Most satisfied). The following table summarizes the data:a. Calculate the mean satisfaction
Methodist Hospital serves as a major trauma center for Indianapolis with one of the largest emergency departments in the country, averaging 11.0 ED patients per hour. Assume the number of ED patients arriving per hour follows the Poisson distribution.a. What is the probability that six ED patients
In college basketball, a turnover is defined as losing possession of the basketball to the opposing team. During a recent basketball season, the Villanova Wildcats averaged 13 turnovers per game. Assume the number of turnovers per game follows the Poisson distribution.a. What is the probability
Customers arrive at a local ice cream stand at an average rate of 16 per hour and follow a Poisson distribution.a. What is the probability that two customers will arrive during the next 15 minutes?b. What is the probability that four customers will arrive during the next 15 minutes?c. What is the
According to the Department of Transportation, United Airlines lost an average of 3.87 bags per 1,000 passengers during 2012. Assume the number of lost bags follows the Poisson distribution.a. What is the probability that, over the next 1,000 United passengers, nobody will lose their bag?b. What is
According to the National Hurricane Center, the average number of hurricanes during the Atlantic season, which runs from June 1 to November 30, was 6.5 hurricanes per year from 1982 to 2012. Assume the number of hurricanes per year follows the Poisson distribution.a. What is the probability that
Harv& Marv’s Outback Alaska provides personalized 4hour or 8hour whale watching tours in Juneau Alaska. (Count Deb and I as two very satisfied customers.) Suppose the number of whales spotted during a 4hour tour follows the Poisson distribution and averages 5.3.a. What is the probability that
According to Experian, 2.5% of car loan payments were 30 days past due in 2012, the lowest percentage since 2007. Lenders prefer auto loans to home mortgages because, when borrowers get into financial trouble, they tend to pay the auto loan first because cars are more easily seized by banks. A
According to hybrid cars. com, the market share of hybrid cars in the United States in February 2013 is 3.4%. Consider a random sample of 20 cars in the United States.a. Use the binomial distribution to determine the probability that there are no hybrid cars from this sample.b. Use the binomial
The U. S. Census reports that 3.5% of households have at least three generations living under one roof. Consider a random sample of 24 households.a. Use the binomial equation to determine the probability that three households have at least three generations living in the same house.b. Use the

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