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business statistics

Questions and Answers of Business Statistics

Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random.
If three dice are rolled, find the probability of getting a sum of 6.
Find the probability that if 5 different-sized washers are arranged in a row, they will be arranged in order of size.
All holly plants are dioecious—a male plant must be planted within 30 to 40 feet of the female plants in order to yield berries. A home improvement store has 12 unmarked holly plants for sale, 8 of
An eight-sided die is rolled. Find the probability of each.a. Getting a 6b. Getting a number larger than 5c. Getting an odd number
The top five motor vehicle producers in the world are listed below with the number of vehicles produced in 2010 (in thousands of
In a local fitness club, 32% of the members lifted weights to exercise, 41% preferred aerobics, and 6% preferred both. If a member is selected at random, find the probability that the member prefers
The probability that a new automobile has a backup camera is 0.6. The probability that a new automobile has a GPS system is 0.4. The probability that a new automobile has both a backup camera and a
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast. If a person is selected at random, find the probability
The probability that a homeowner owns a lawnmower is 0.7. The probability that a homeowner owns a weed wacker is 0.5. The probability that a home owner owns both a lawnmower and a weed wacker is 0.3.
The probability that a gambler plays table games is 0.32. The probability that a person plays the slot machines is 0.85. The probability that a person plays both is 0.15. A gambler can play more than
Two T-shirt printing factories produce T-shirts for a local sports team. Factory A produces 60% of the shirts and factory B produces 40%. Five percent of the shirts from factory A are defective, and
The probability that Sue will live on campus and buy a new car is 0.37. If the probability that she will live on campus is 0.73, find the probability that she will buy a new car, given that she lives
Of the members of the Blue River Health Club, 43% have a lifetime membership and exercise regularly (three or more times a week). If 75% of the club members exercise regularly, find the probability
The probability that it snows and the bus arrives late is 0.023. José hears the weather forecast, and there is a 40% chance of snow tomorrow. Find the probability that the bus will be late, given
Approximately 11% of the civilian population are veterans. Choose 5 civilians at random. What is the probability that none are veterans? What is the probability that at least 1 is a veteran?
If 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
The U.S. Department of Health and Human Services reports that 15% of Americans have chronic sinusitis. If 5 people are selected at random, find the probability that at least 1 has chronic sinusitis.
If a motorcycle license plate consists of two letters followed by three digits, how many different license plates can be made if repetitions are allowed? How many different license plates can be made
White copy paper is offered in 5 different strengths and 11 different degrees of brightness, recycled or not, and acid-free or not. How many different types of paper are available for order?
How many ways can 3 outfielders and 4 infielders be chosen from 5 outfielders and 7 infielders?
The following items are allowed as airline carry-on items: (1) safety razors, (2) eyedrops and saline, (3) nail clippers and tweezers, (4) blunttipped scissors, (5) mobile phones, (6) umbrellas, (7)
The top 10 names for boys in America in 2005 were Ethan, Jacob, Ryan, Matthew, Tyler, Jack, Joshua, Andrew, Noah, and Michael. The top 10 names for 2015 are Liam, Noah, Ethan, Mason, Lucas, Logan,
A promotional MP3 player is available with the capacity to store 100 songs, which can be reordered at the push of a button. How many different arrangements of these songs are possible?
A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense accounts. If a person selects 1 of each option, how many different options does she or he have?
There are 12 students who wish to enroll in a particular course. There are only 4 seats left in the classroom. How many different ways can 4 students be selected to attend the class?
If a student can select one of 3 language courses, one of 5 mathematics courses, and one of 4 history courses, how many different schedules can be made?
In a catalog, movies are identified by an ID number—2 letters followed by 3 digits. Repetitions are permitted. How many catalog numbers can be made? What is the probability that the ID number is
Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all 5 dice show the same number, it is called a Yahtzee and scores 50 points for the first
If a person can select one movie for each week night except Saturday, how many different ways can the selection be made if the person can select from 16 movies?
From which word can you make more permutations, MATHEMATICS or PROBABILITY? How many more?
A candy store allows customers to select 3 different candies to be packaged and mailed. If there are 13 varieties available, how many possible selections can be made?
A home improvement store has the following house numbers: 335666 left after a sale. How many different six-digit house numbers can be made from those numbers?
Only 27% of U.S. adults get enough leisure time exercise to achieve cardiovascular fitness. Choose 3 adults at random. Find the probability thata. All 3 get enough daily exerciseb. At least 1 of the
The following foreign adoptions (in the United States) occurred during these particular years.Choose one adoption at random from this chart.a. What is the probability that it was from Ethiopia given
In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.70 and of selecting a one-car garage is 0.20. Find the probability that the buyer will
In a federal prison, inmates can select to complete high school, take college courses, or do neither. The following survey results were obtained using ages of the inmates.If a prisoner is selected at
A pizza restaurant sold 24 cheese pizzas and 16 pizzas with one or more toppings. Twelve of the cheese pizzas were eaten at work, and 10 of the pizzas with one or more toppings were eaten at work. If
About.com’s list of 20 World Class Orchestras includes the following from the United States: Boston Symphony Orchestra, Chicago Symphony Orchestra, Cleveland Orchestra, Los Angeles Philharmonic,
At a meeting of 10 executives (7 women and 3 men), two door prizes are awarded. Find the probability that both prizes are won by men.
Six men and seven women apply for two identical jobs. If the jobs are filled at random, find the following:a. The probability that both are filled by men.b. The probability that both are filled by
A university received 9 applications for three postdoctorate fellowships. Five of the applicants are men and four are women. Find these probabilities.a. All 3 who are selected are men.b. All 3 who
Cards numbered 1–10 are shuffled and dealt face down. What is the probability that they are in order?
Find the probability of getting 2 face cards (king, queen, or jack) when 2 cards are drawn from a deck without replacement.
A game of concentration (memory) is played with a standard 52-card deck. How many potential two-card matches are there (e.g., one jack “matches” any other jack)?
How many different combinations can be made from (x + 2) things taken x at a time?
In how many ways can 3 people be seated in a circle? 4? n?
How many different ways can you select one or more coins if you have 2 nickels, 1 dime, and 1 half-dollar?
The presidents, vice presidents, and secretary-treasurers from each of four classes are eligible for an all-school council. How many ways can four officers be chosen from these representatives? How
In a board of directors composed of 8 people, how many ways can one chief executive officer, one director, and one treasurer be selected?
The Environmental Protection Agency must investigate 9 mills for complaints of air pollution. How many different ways can a representative select 5 of these to investigate this week?
How many ways can a dinner patron select 3 appetizers and 2 vegetables if there are 6 appetizers and 5 vegetables on the menu?
How many different signals can be made by using at least 3 different flags if there are 5 different flags from which to select?
How many different ways can 3 flight attendants be selected from 11 flight attendants for a routine flight?
How many ways can a person select 8 DVDs from 10 DVDs?
How many different ways can an instructor select 2 textbooks from a possible 17?
How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas to be presented during the year?
How many different ways can a government researcher select 5 nuclear power plants from 9 nuclear power plants in Pennsylvania?
Anderson Research Company decides to test-market a product in 6 areas. How many different ways can 3 areas be selected in a certain order for the first test?
A buyer decides to stock 8 different posters. How many ways can she select these 8 if there are 20 from which to choose?
An advertising manager decides to have an ad campaign in which 8 special calculators will be hidden at various locations in a shopping mall. If he has 17 locations from which to pick, how many
A researcher wishes to study railroad accidents. He wishes to select 3 railroads from 10 Class I railroads, 2 railroads from 6 Class II railroads, and 1 railroad from 5 Class III railroads. How many
How many ways can a person select 8 DVDs from a display of 13 DVDs?
An automobile dealer has 12 small automobiles, 8 mid-size automobiles, and 6 large automobiles on his lot. How many ways can two of each type of automobile be selected from his inventory?
There are 16 seniors and 15 juniors in a particular social organization. In how many ways can 4 seniors and 2 juniors be chosen to participate in a charity event?
A domino is a flat rectangular block whose face is divided into two square parts, each part showing from zero to six pips (or dots). Playing a game consists of playing dominoes with a matching number
The state narcotics bureau must form a 5-member investigative team. If it has 25 agents from which to choose, how many different possible teams can be formed?
How many ways can you pick 4 students from 10 students (6 men, 4 women) if you must have an equal number of each gender or all of the same gender?
Wake Up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can she select 3 boxes of each for a quality control test?
Six students are performing one song each in a jazz vocal recital. Two students have repertoires of five numbers, and the others have four songs each prepared. How many different programs are
How many different tables of 4 can you make from 16 potential bridge players? How many different tables if 4 of the players insist on playing together?
In how many ways can you choose 3 kinds of ice cream and 2 toppings from a dessert buffet with 10 kinds of ice cream and 6 kinds of toppings?
If a person can select 3 presents from 10 presents under a Christmas tree, how many different combinations are there?
A coffee shop serves 12 different kinds of coffee drinks. How many ways can 4 different coffee drinks be selected?
How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?
A researcher wishes her patients to try a new medicine for depression. How many different ways can she select 5 patients from 50 patients?
How many different permutations of the letters in the word CINCINNATI are there?
How many different ways can 5 identical tubes of tartar control toothpaste, 3 identical tubes of bright white toothpaste, and 4 identical tubes of mint toothpaste be arranged in a grocery store
How many different 9-letter code words can be made using the symbols %, %, %, %, &, &, &, +, +?
How many permutations can be made using all the letters in the word MASSACHUSETTS?
How many different flag signals, each consisting of 7 flags hung vertically, can be made when there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags?
An investigative agency has 7 cases and 5 agents. How many different ways can the cases be assigned if only 1 case is assigned to each agent?
How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task?
The Foreign Language Club is showing a four-movie marathon of subtitled movies. How many ways can they choose 4 from the 11 available?
How many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize?
An online coupon service has 13 offers for free samples. How many different requests are possible if a customer must request exactly 3 free samples? How many are possible if the customer may request
How many different ID cards can be made if there are 6 digits on a card and no digit can be used more than once?
A particular cell phone company offers 4 models of phones, each in 6 different colors and each available with any one of 5 calling plans. How many combinations are possible?
How many different 4-letter permutations can be written from the word hexagon?
How many different ways can a city health department inspector visit 5 restaurants in a city with 10 restaurants?
There are 9 endangered amphibian species in the United States. How many ways can a student select 3 of these species to write a report about them? The order of selection is important.
An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 7 tests. How many ways can he perform 3 different tests?
How many different 4-color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and white? All colors are used only once.
Evaluate each expression.a. 6!b. 11!c. 2!d. 9!e. 9P6 f. 11P4g. 8P0h. 10P2
Evaluate each expression.a. 11!b. 9!c. 0!d. 1!e. 6P4f. 12P8g. 7P7h. 4P0i. 9P2j. 11P3
There are 2 major roads from city X to city Y and 4 major roads from city Y to city Z. How many different trips can be made from city X to city Z, passing through city Y?
Given the characters A, B, C, H, I, T, U, V, 1, 2, 3, and 4, how many seven-character passwords can be made? (No repeats are allowed.) How many if you have to use all four numbers as the first four
How many 4-letter code words can be made using the letters in the word pencil if repetitions are permitted? If repetitions are not permitted?
At the Rogue Film Festival, the director must select one film from each category. There are 8 drama films, 3 sci-fi films, and 5 comedy films. How many different ways can a film be selected?
The call letters of a radio station must have 4 letters. The first letter must be a K or a W. How many different station call letters can be made if repetitions are not allowed? If repetitions are

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