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mathematics
business statistics

Questions and Answers of Business Statistics

A marketing research firm conducted a survey to determine how adults in Philadelphia use their cell phones. The survey randomly sampled 250 adults. One question asked in the survey was “Over the
A company’s internal audit department randomly sampled 121 employee business travel reimbursement requests as part of an ongoing program to control and manage travel expenses. The dollar amounts
PR Newswire reported that in 2015, the mean number of text messages sent by Americans was 32 (source: “No time to talk: Americans sending/receiving five times as many texts compared to phone calls
Several states including Colorado, Idaho, Kansas, Mississippi, Oregon, Texas, Utah, and Wisconsin have passed legislation that allows holders of gun permits to carry weapons on college campuses in
Nielsen’s Advertising and Audiences report indicated that during the 2013–2014 season, more people in the United States watched TV on Sundays during prime time (average of 125 million) than any
A computer scanner can read a bar code on a package correctly 97% of the time. One company monitors the accuracy of the scanner by randomly sampling packages and verifying that each package has been
A company in Hawaii manages properties for owners and arranges for the properties to be rented. A property owner who is considering using the company is told that 10% of the bookings result in a
Under what conditions should the finite population correction factor be used in determining the standard error of a sampling distribution?
Findings from the National Health and Nutrition Examination Survey (NHANES) 1999€“2002, the National Health Interview Survey (NHIS) 2006, and the Tobacco Use Supplement to the Current
A manufacturing process applies a coating to a product in order to protect it from scratches. If the thickness of the coating follows a uniform distribution between 15 and 25 microns, determinea. The
If the average amount of time customers spent online at an Internet retailer’s site is assumed to be normally distributed with mean of 36 minutes and a standard deviation of 6 minutes, determinea.
The Schoonover Manufacturing Company monitors the downtimes on its key fabricating machines. Data for the downtimes on one particular machine are in the file called Schoonover. Assuming that the
A file titled Tuition contains the percent change in in-state tuition for 50 universities (The College Board, “Annual survey of colleges,” October 2015).a. Produce a relative frequency histogram
Darlington Industries produces a wide array of home safety and security products, including smoke alarms. As part of its quality-control program, it constantly tests to assure that the alarms work. A
An article by Erin ElIssa titled “2015 American household credit card debt study” (www.nerdwallet.com) indicated that for households that had credit card debt, the average debt in 2015 was
According to the website www.zanebenefits.com, the average cost of a stay in a U.S. hospital in 2013 for a Medicare patient was $11,600. Assume that this cost is exponentially distributed.a.
A California water company has determined that the average customer billing is $1,250 per year and the amounts billed have an exponential distribution.a. Calculate the probability that a randomly
The manager of an online shopping website has determined that an average of 11 customers per minute make a purchase on Saturdays. The manager believes that each customer’s purchase is independent
The blood pressures of all patients admitted to a hospital on a specific day.State whether the variable is discrete or continuous.
Define and give three examples of a random variable.
Explain the difference between a discrete and a continuous random variable.
List three continuous random variables and three discrete random variables associated with a major league baseball game.
Determine whether the distribution represents a probability distribution. If it does not, state why. 15 16 25 20 0.5 0.7 0.2 0.7 -0.8 P(X)
Determine whether the distribution represents a probability distribution. If it does not, state why. 5 P(X) 0.6 0.8 -0.4
Determine whether the distribution represents a probability distribution. If it does not, state why. -5 -3 0.3 2 0.3 4 P(X) 0.2 0.1 0.1
Determine whether the distribution represents a probability distribution. If it does not, state why. 30 40 20 P(X) 0.05 0.35 0.2 0.4
Determine whether the distribution represents a probability distribution. If it does not, state why. 3 1 0.3 P(X) 0.3 0.4 0.1
Determine whether the distribution represents a probability distribution. If it does not, state why. 3 14 12 P(X) 13 13 13 13 13
The number of books in your school’s library.State whether the variable is discrete or continuous.
The number of people who play the state lottery each day.State whether the variable is discrete or continuous.
The temperature of the water in Lake ErieState whether the variable is discrete or continuous.
The time it takes to have a medical physical examState whether the variable is discrete or continuous.
The total number of points scored in a basketball gameState whether the variable is discrete or continuous.
The probability that a college bookstore sells 0, 1, 2, or 3 statistical calculators on any given day is 4/9, 2/9, 2/9, and 1/9, respectively.Construct a probability distribution for the data and
The probability that an automobile repair shop sells 0, 1, 2, 3, or 4 tires on any given day is 0.25, 0.05, 0.30, 0.00, and 0.40 respectively.Construct a probability distribution for the data and
The first six triangular numbers (1, 3, 6, 10, 15, 21) are printed one each on one side of a card. The cards are placed face down and mixed. Choose two cards at random, and let x be the sum of the
In a popular day care center, the probability that a child will play with the computer is 0.45; the probability that he or she will play dress-up is 0.27; play with blocks, 0.18; and paint, 0.1.
The probability that a hockey team scores a total of 1 goal in a game is 0.124; 2 goals, 0.297; 3 goals, 0.402; 4 goals, 0.094; and 5 goals, 0.083. Construct the probability distribution for this
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.117; 5 students, 0.123; 6 students, 0.295; and 7
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/6 for X = 1, 2, 3 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X for X = 0.2, 0.3, 0.5 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/6 for X = 3, 4, 7 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X + 0.1 for X = 0.1, 0.02, 0.04 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/7 for X = 1, 2, 4 3 х P(X) 61-16
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows:P(X) = X/(X + 2) for X = 0, 1, 2 3 х P(X) 61-16
The probability that a child plays one computer game is one-half as likely as that of playing two computer games. The probability of playing three games is twice as likely as that of playing two
A researcher wishes to determine the number of cups of coffee a customer drinks with an evening meal at a restaurant. Find the mean, variance, and standard deviation for the distribution. 1 2 3 2
A survey was taken of the number of daily newspapers a person reads per day. Find the mean, variance, and standard deviation of the distribution. х о P(X) 0.42 3 2 2 0.35 0.03 0.20
A contractor has four new home plans. Plan 1 is a home with six windows. Plan 2 is a home with seven windows. Plan 3 has eight windows, and plan 4 has nine windows. The probability distribution for
A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Find the mean, variance, and standard
The leading digits in actual data, such as stock prices, population numbers, death rates, and lengths of rivers, do not occur randomly as one might suppose, but instead follow a distribution
A survey shows the probability of the number of automobiles that families in a certain housing plan own. Find the mean, variance, and standard deviation for the distribution. 1 3 2 х P(X) 4 0.46
A convenience store has made up 20 grab bag gifts and is offering them for $2.00 a bag. Ten bags contain merchandise worth $1.00. Six bags contain merchandise worth $2.00, and four bags contain
A landscape contractor bids on jobs where he can make $3000 profit. The probabilities of getting 1, 2, 3, or 4 jobs per month are shown.Find the contractor€™s expected profit per month.
If a person rolls doubles when she tosses two dice, she wins $5. For the game to be fair, how much should she pay to play the game?
In Exercise 15, find the expectation if a person buys two tickets. Assume that the player’s ticket is replaced after each draw and that the same ticket can win more than one prize.In exercise 15A
A 35-year-old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life table for the U.S. government, the probability that she will survive the year
When one die is rolled, the expected value of the number of dots is 3.5. In Exercise 20, the mean number of dots was found for rolling two dice. What is the mean number of dots if three dice are
Complete the following probability distribution if P(6) equals two-thirds of P(4). Then find Î¼, Ïƒ2, and Ïƒ for the distribution. 2 0.23 1 4 9. 6. P(X) ? 0.18 0.015
A bag contains five balls numbered 1, 2, 4, 7, and *. Choose two balls at random without replacement and add the numbers. If one ball has the *, double the amount on the other ball. Construct the
Compute the probability of X successes, using Table B in Appendix A.a. n = 15, p = 0.80, X = 12b. n = 17, p = 0.05, X = 0c. n = 20, p = 0.50, X = 10d. n = 16, p = 0.20, X = 3
Compute the probability of X successes, using the binomial formula.a. n = 6, X = 3, p = 0.03b. n = 4, X = 2, p = 0.18c. n = 5, X = 3, p = 0.63
Compute the probability of X successes, using the binomial formula.a. n = 9, X = 0, p = 0.42b. n = 10, X = 5, p = 0.37
A survey found that 10% of Americans believe that they have seen a UFO. For a sample of 10 people, find each probability:a. That at least 2 people believe that they have seen a UFOb. That 2 or 3
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probability.a. None will have high blood pressure.b.
A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you
Three out of four people think most advertising seeks to persuade people to buy things they don’t need or can’t afford. Find the probability that exactly 5 out of 9 randomly selected people will
In 2014 the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only?
Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected, find these probabilities:a. Exactly 3 were unemployed.b. At most 4 were unemployed.c. At
Twenty-five percent of commercial airline accidents are caused by bad weather. If 300 commercial accidents are randomly selected, find the mean, variance, and standard deviation of the number of
Find the mean, variance, and standard deviation for the number of heads when 10 coins are tossed.
In 2014 the percentage of the U.S. population who was foreign-born was 13.1. Choose 60 U.S. residents at random. How many would you expect to be American-born? Find the mean, variance, and standard
It has been reported that 83% of federal government employees use e-mail. If a sample of 200 federal government employees is selected, find the mean, variance, and standard deviation of the number
A survey found that 21% of Americans watch fireworks on television on July 4. Find the mean, variance, and standard deviation of the number of individuals who watch fireworks on television on July 4
Eighty-five percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a random sample of 120 Americans, find the mean, variance, and standard
A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their
In a survey, 63% of Americans said they own an answering machine. If 14 Americans are selected at random, find the probability that exactly 9 own an answering machine.
Thirty-two percent of adult Internet users have purchased products or services online. For a random sample of 200 adult Internet users, find the mean, variance, and standard deviation for the number
Fifty-eight percent of runaways in the United Stated are female. In 20 runaways are selected at random, find the probability that exactly 14 are female.
In a recent year, 13% of businesses have eliminated jobs. If 5 businesses are selected at random, find the probability that at least 3 have eliminated jobs during that year.
Of graduating high school seniors, 14% said that their generation will be remembered for their social concerns. If 7 graduating seniors are selected at random, find the probability that either 2 or 3
Is this a binomial distribution? Explain. 2 0.432 1 0.288 3 0.216 P(X) 0.064
Show that the mean for a binomial random variable X with n = 3 is 3p.
The probabilities are 0.50, 0.40, and 0.10 that a trailer truck will have no violations, 1 violation, or 2 or more violations when it is given a safety inspection by state police. If 5 trailer trucks
The probability that a person has 1, 2, 3, or 4 prescriptions when he or she enters a pharmacy is 0.5, 0.3, 0.15, or 0.05. For a sample of 10 people who enter the pharmacy, find the probability that
Find each probability P(X; λ), using Table C in Appendix A.a. P(6;4)b. P(2;5)c. P(7;3)
Find each probability P(X; λ) using Table C in Appendix A.a. P(10; 7)b. P(9; 8)c. P(3; 4)
In a 400-page manuscript, there are 200 randomly distributed misprints. If a page is selected, find the probability that it has 1 misprint.
A nursery provides red impatiens for commercial landscaping. If 5% are variegated instead of pure red, find the probability that in an order for 200 plants, exactly 14 are variegated.
Of a company’s mailings 1.5% are returned because of incorrect or incomplete addresses. In a mailing of 200 pieces, find the probability that none will be returned.
If 3% of all cars fail the emissions inspection, find the probability that in a sample of 90 cars, 3 will fail. Use the Poisson approximation.
The average number of phone inquiries per day at the poison control center is 4. Find the probability it will receive 5 calls on a given day. Use the Poisson approximation.
In a batch of 2000 calculators, there are, on average, 8 defective ones. If a random sample of 150 is selected, find the probability of 5 defective ones.
A school newspaper staff is comprised of 5 seniors, 4 juniors, 5 sophomores, and 7 freshmen. If 4 staff members are chosen at random for a publicity photo, what is the probability that there will be
Twelve people apply for a teaching position in mathematics at a local college. Six have a PhD and six have a master’s degree. If the department chairperson selects three applicants at random for an
Ten people apply for a job at Computer Warehouse. Five are college graduates and five are not. If the manager selects 3 applicants at random, find the probability that all 3 are college graduates.
A person calls people to ask if they would like to extend their automobile insurance beyond the normal 3 years. The probability that the respondent says yes is about 33%. If she calls 12 people, find
A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will(a) Win on his first purchase,(b)
Mark shoots arrows at a target and hits the bull’s-eye about 40% of the time. Find the probability that he hits the bull’s-eye on the third shot.
At an amusement park basketball game, the player gets 3 throws for $1. If the player makes a basket, the player wins a prize. Mary makes about 80% of her shots. Find the probability that Mary wins a

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