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mathematics
statistics

Questions and Answers of Statistics

Use the values in the probability matrix to solve the equations given.a. P(C|A) = ___________b. P(B|D) = ___________c. P(A|B) =___________
The results of a survey asking, â€œDo you have a calculator and/or a computer in your home?â€ follow.Is the variable "calculator" independent of the variable "computer"? Why or whynot?
In a recent year, business failures in the United States numbered 83,384, according to Dun & Bradstreet. The construction industry accounted for 10,867 of these business failures. The South
Arthur Andersen Enterprise Group/National Small Business United, Washington, conducted a national survey of small-business owners to determine the challenges for growth for their businesses. The top
According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Suppose that 20% of those who read e-mail while they are talking on the
Accounting Today reported that 37% of accountants purchase their computer hardware by mail order direct and that 54% purchase their computer software by mail order direct. Suppose that 97% of the
In a study undertaken by Catalyst, 43% of women senior executives agreed or strongly agreed that a lack of role models was a barrier to their career development. In addition, 46% agreed or strongly
In a manufacturing plant, machine A produces 10% of a certain product, machine B produces 40% of this product, and machine C produces 50% of this product. Five percent of machine A products are
Alex, Alicia, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Alicia incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the
In a small town, two lawn companies fertilize lawns during the summer. Tri-State Lawn Service has 72% of the market. Thirty percent of the lawns fertilized by Tri State could be rated as very healthy
Suppose 70% of all companies are classified as small companies and the rest as large companies. Suppose further, 82% of large companies provide training to employees, but only 18% of small companies
Use the values in the contingency table to solve the equations given.a. P(E) = ___________b. P(B U D) = ___________c. P(A âˆ© E) = ___________d. P(B | E) = ___________e. P(A U B) = ___________f.
Use the values in the contingency table to solve the equations given.a. P(F âˆ© A) = _________b. P(A | B) = _________c. P(B) = _________d. P(E âˆ© F) = _________e. P(D | B) = _________f. P(B |
The following probability matrix contains a breakdown on the age and gender of U.S. physicians in a recent year, as reported by the American Medical Association.a. What is the probability that one
Purchasing Survey asked purchasing professionals what sales traits impressed them most in a sales representative. Seventy-eight percent selected "thoroughness." Forty percent responded "knowledge of
The U.S. Bureau of Labor Statistics publishes data on the benefits offered by small companies to their employees. Only 42% offer retirement plans while 61% offer life insurance. Suppose 33% offer
According to Link Resources, 16% of the U.S. population is technology driven. However, these figures vary by region. For example, in the West the figure is 20% and in the Northeast the figure is 17%.
In a certain city, 30% of the families have a MasterCard, 20% have an American Express card, and 25% have a Visa card. Eight percent of the families have both a MasterCard and an American Express
A few years ago, a survey commissioned by The World Almanac and Maturity News Service reported that 51% of the respondents did not believe the Social Security system will be secure in 20 years. Of
A telephone survey conducted by the Maritz Marketing Research company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of those surveyed
The Steelcase Workplace Index studied the types of workrelated activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent
A study on ethics in the workplace by the Ethics Resource Center and Kronos, Inc., revealed that 35% of employees admit to keeping quiet when they see coworker misconduct. Suppose 75% of employees
Health Rights Hotline published the results of a survey of 2,400 people in Northern California in which consumers were asked to share their complaints about managed care. The number one complaint was
Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that
Pitney Bowes surveyed 302 directors and vice presidents of marketing at large and midsized U.S. companies to determine what they believe is the best vehicle for educating decision makers on complex
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use
A small independent physicians' practice has three doctors.Dr. Sarabia sees 41% of the patients, Dr. Tran sees 32%, and Dr. Jackson sees the rest. Dr. Sarabia requests blood tests on 5% of her
A survey by the Arthur Andersen Enterprise Group/ National Small Business United attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the
According to U.S. Census Bureau figures, 35.3% of all Americans are in the 0-24 age bracket, 14.2% are in the 25-34 age bracket 16.0% are in the 35-44 age bracket, and 34.5 are in the 45 and older
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and believe
Determine the mean, the variance, and the standard deviation of the following discrete distribution.x P(x)1 ...........2382 ...........2903 ...........1774 ...........1585 ...........137
Determine the mean, the variance, and the standard deviation of the following discrete distribution.x P(x)0 ...........1031 ...........1182 ...........2463
The following data are the result of a historical study of the number of flaws found in a porcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute
Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers could range from zero to six. Shown here
Solve the following problems by using the binomial formula.a. If n = 4 and p = .10, find P(x = 3).b. If n = 7 and p = .80, find P(x = 4).c. If n = 10 and p = .60, find P(x ≥ 7).d. If n = 12 and p =
Solve the following problems by using the binomial tables (Table A.2).a. If n = 20 and p = .50, find P(x = 12).b. If n = 20 and p = .30, find P(x > 8).c. If n = 20 and p = .70, find P(x <
Solve for the mean and standard deviation of the following binomial distributions.a. n = 20 and p = .70b. n = 70 and p = .35c. n = 100 and p = .50
Use the probability tables in Table A.2 and sketch the graph of each of the following binomial distributions. Note on the graph where the mean of the distribution falls.a. n = 6 and p = .70b. n = 20
What is the first big change that American drivers made due to higher gas prices? According to an Access America survey, 30% said that it was cutting recreational driving. However, 27% said that it
The Wall Street Journal reported some interesting statistics on the job market. One statistic is that 40% of all workers say they would change jobs for "slightly higher pay." In addition, 88% of
An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA WEEKEND magazine, 60% of all
Studies have shown that about half of all workers who change jobs cash out their 401(k) plans rather than leaving the money in the account to grow. The percentage is much higher for workers with
In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates
According to Cerulli Associates of Boston, 30% of all CPA financial advisors have an average client size between $500,000 and $1 million. Thirty-four percent have an average client size between $1
Find the following values by using the Poisson formula.a. P (x = 5 | λ = 2.3)b. P (x = 2 | λ = 3.9)c. P (x . 3 | λ = 4.1)d. P (x = 0 | λ = 2.7)e. P (x = 1 | λ = 5.4)f. P (4 < x < 8 | λ =
Find the following values by using the Poisson tables in Appendix A.a. P (x = 6 | λ = 3.8)b. P (x > 6 | λ = 2.9)c. P (3 ≤ x ≤ 9 | λ = 4.2)d. P (x = 0 | λ = 1.9)e. P (x ≤ 7 | λ = 2.9)f.
Sketch the graphs of the following Poisson distributions. Compute the mean and standard deviation for each distribution. Locate the mean on the graph. Note how the probabilities are graphed around
On Monday mornings, the First National Bank only has one teller window open for deposits and withdrawals. Experience has shown that the average number of arriving customers in a four-minute interval
A restaurant manager is interested in taking a more statistical approach to predicting customer load. She begins the process by gathering data. One of the restaurant hosts or hostesses is assigned to
According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every
The average number of annual trips per family to amusement parks in the United States is Poisson distributed, with a mean of 0.6 trips per year.What is the probability of randomly selecting an
Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.2 collisions every four months.a. What is the probability of having no
A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distributed.a. What is the probability of selecting a carton and finding no
A medical researcher estimates that .00004 of the population has a rare blood disorder. If the researcher randomly selects 100,000 people from the population,a. What is the probability that seven or
A data firm records a large amount of data. Historically, .9% of the pages of data recorded by the firm contain errors. If 200 pages of data are randomly selected,a. What is the probability that six
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have
Compute the following probabilities by using the hypergeometric formula.a. The probability of x = 3 if N = 11, A = 8, and n = 4b. The probability of x < 2 if N = 15, A = 5, and n = 6c. The
Shown here are the top 19 companies in the world in terms of oil refining capacity. Some of the companies are privately owned and others are state owned. Suppose six companies are randomly
Catalog Age lists the top 17 U.S. firms in annual catalog sales. Dell Computer is number one followed by IBM and W.W. Grainger. Of the 17 firms on the list, 8 are in some type of computer-related
W. Edwards Deming in his red bead experiment had a box of 4,000 beads, of which 800 were red and 3,200 were white.* Suppose a researcher were to conduct a modified version of the red bead experiment.
Shown here are the top 10 U.S. cities ranked by number of rooms sold in a recent year.Suppose four of these cities are selected randomly.a. What is the probability that exactly two cities are in
A company produces and ships 16 personal computers knowing that 4 of them have defective wiring. The company that purchased the computers is going to thoroughly test three of the computers. The
A western city has 18 police officers eligible for promotion. Eleven of the 18 are Hispanic. Suppose only five of the police officers are chosen for promotion and that one is Hispanic. If the
Solve for the probabilities of the following binomial distribution problems by using the binomial formula.a. If n = 11 and p = .23, what is the probability that x = 4?b. If n = 6 and p = .50, what is
Use Table A.2, Appendix A, to find the values of the following binomial distribution problems.a. P(x = 14 | n = 20 and p = .60)b. P(x < 5 | n = 10 and p = .30)c. P(x ≥ 12 | n = 15 and p = .60)d.
Use the Poisson formula to solve for the probabilities of the following Poisson distribution problems.a. If λ = 1.25, what is the probability that x = 4?b. If λ = 6.37, what is the probability that
Use Table A.3, Appendix A, to find the following Poisson distribution values.a. P(x = 3 | λ = 1.8)b. P(x < 5 | λ 3.3)c. P(x ≥ 3 | λ = 2.1)d. P(2 < x ≤ 5 | λ = 4.2)
Solve the following problems by using the hypergeometric formula.a. If N = 6, n = 4, and A = 5, what is the probability that x = 3?b. If N = 10, n = 3, and A = 5, what is the probability that x 1?c.
In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual
A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 3.2 cars use the diesel pump every 2 hours. Assume the arrivals of diesel pump
In a particular manufacturing plant, two machines (A and B) produce a particular part. One machine (B) is newer and faster. In one five-minute period, a lot consisting of 32 parts is produced.
Suppose that, for every lot of 100 computer chips a company produces an average of 1.4 are defective. Another company buys many lots of these chips at a time, from which one lot is selected randomly
The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is
A survey conducted for the Northwestern National Life Insurance Company revealed that 70% of American workers say job stress caused frequent health problems.One in three said they expected to burn
According to Padgett Business Services, 20% of all smallbusiness owners say the most important advice for starting a business is to prepare for long hours and hard work. Twenty-five percent say the
According to a recent survey, the probability that a passenger files a complaint with the Department of Transportation about a particular U.S. airline is .000014.Suppose 100,000 passengers who flew
A hair stylist has been in business one year. Sixty percent of his customers are walk-in business. If he randomly samples eight of the people from last week's list of customers, what is the
A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight even if there were no issues with the phones interfering with aircraft
A survey conducted by the Consumer Reports National Research Center reported, among other things, that women spend an average of 1.2 hours per week shopping online. Assume that hours per week
According to the Audit Bureau of Circulations, the top 25 city newspapers in the United States ranked according to circulation are:Rank Newspaper________1 ..........New York Times (NY)2 ..........Los
An office in Albuquerque has 24 workers including management.Eight of the workers commute to work from the west side of the Rio Grande River. Suppose six of the office workers are randomly
According to the U.S. Census Bureau, 20% of the workers in Atlanta use public transportation. If 25 Atlanta workers are randomly selected, what is the expected number to use public transportation?
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analysts generally believe that random phone calls are Poisson distributed.
A survey by Frank N.Magid Associates revealed that 3% of Americans are not connected to the Internet at home. Another researcher randomly selects 70 Americans.a. What is the expected number of these
Suppose that in the bookkeeping operation of a large corporation the probability of a recording error on any one billing is .005. Suppose the probability of a recording error from one billing to the
According to the American Medical Association, about 36% of all U.S. physicians under the age of 35 are women.Your company has just hired eight physicians under the age of 35 and none is a woman. If
The following table lists the 25 largest U.S. universities according to enrollment figures from The World Almanac. The state of location is given in parentheses.University EnrollmentUniversity of
In one midwestern city, the government has 14 repossessed houses, which are evaluated to be worth about the same. Ten of the houses are on the north side of town and the rest are on the west side. A
The Public Citizen's Health Research Group studied the serious disciplinary actions that were taken during a recent year on nonfederal medical doctors in the United States. The national average was
Study the Minitab output. Discuss the type of distribution, the mean, standard deviation, and why the probabilities fall as they do.Probability Density FunctionBinomial with n = 15 and n = 0.36x
Study the Excel output. Explain the distribution in terms of shape and mean. Are these probabilities what you would expect? Why or why not?x Values Poisson Probabilities: λ = 2.780
Study the graphical output from Excel. Describe the distribution and explain why the graph takes the shape itdoes.
Study the Minitab graph. Discuss the distribution including type, shape, and probabilityoutcomes.
George Eastman was born in 1854 in Upstate New York. A high school dropout because of the untimely death of his father and the ensuing financial needs of his family, Eastman began his business career
Mercedes and BMW have been competing head-to-head for market share in the luxury-car market for more than four decades. Back in 1959, BMW (Bayerische Motoren Werke) almost went bankrupt and nearly
Values are uniformly distributed between 200 and 240.a. What is the value of f (x) for this distribution?b. Determine the mean and standard deviation of this distribution.c. Probability of (x >
x is uniformly distributed over a range of values from 8 to 21.a. What is the value of f (x) for this distribution?b. Determine the mean and standard deviation of this distribution.c. Probability of
The retail price of a medium-sized box of a well-known brand of cornflakes ranges from $2.80 to $3.14. Assume these prices are uniformly distributed.What are the average price and standard deviation
The average fill volume of a regular can of soft drink is 12 ounces. Suppose the fill volume of these cans ranges from 11.97 to 12.03 ounces and is uniformly distributed.What is the height of this
Suppose the average U.S. household spends $2,100 a year on all types of insurance. Suppose the figures are uniformly distributed between the values of $400 and $3,800. What are the standard deviation

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