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Elementary Statistics A Step By Step Approach 10th Edition Allan G. Bluman - Solutions
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 different possible combinations can he choose?
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 different possibilities are there for his study?
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 of pips. Explain why there are 28 dominoes in a complete set.
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 possible without regard to order? Assume that the repertory selections are all unique.
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 counter display?
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 up to 3 free samples?
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 characters in the password?
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 allowed?
If five dice are rolled, how many different outcomes are there?
Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands?
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9. How many numbers are possible? Although repeats are allowed, how many numbers are possible if repeats are not allowed?
How many different ways can a visiting nurse visit 9 patients if she wants to visit them all in one day?
Seven elementary students are selected to give a 3-minute presentation on what they did during summer vacation. How many different ways can the speakers be arranged?
List all the permutations of the letters in the word MATH.
How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions?
Two bags contain marbles. Bag 1 contains 1 black marble and 9 white marbles. Bag 2 contains 1 black marble and x white marbles. If you choose a bag at random, then choose a marble at random, the probability of getting a black marble is 2/15. How many white marbles are in bag 2?
In a child’s board game of the tortoise and the hare, the hare moves by roll of a standard die and the tortoise by a six-sided die with the numbers 1, 1, 1, 2, 2, and 3. Roll each die once. What is the probability that the tortoise moves ahead of the hare?
Given a sample space with events A and B such that P(A) = 0.342, P(B) = 0.279, and P(A or B) = 0.601. Are A and B mutually exclusive? Are A and B independent? Find P(A|B), P(not B), and P(A and B).
Let A and B be two mutually exclusive events. Are A and B independent events? Explain your answer.
In a large vase, there are 8 roses, 5 daisies, 12 lilies, and 9 orchids. If 4 flowers are selected at random, and not replaced, find the probability that at least 1 of the flowers is a rose. Would you consider this event likely to occur? Explain your answer.
Twelve percent of people in Western countries consider themselves lucky. If 3 people are selected at random, what is the probability that at least one will consider himself lucky?
As of June 2015, 81.4% of patients were waiting on a kidney, 11.7% were waiting on a liver, and 3.1% were waiting on a heart. Choose 6 patients on the transplant waiting list at random in 2015. Find the probability thata. All were waiting for a kidney.b. None were waiting for a kidney.c. At least 1
A die is rolled twice. Find the probability of getting at least one 6.
If 3 digits are selected at random with replacement, find the probability of getting at least one odd number. Would you consider this event likely or unlikely? Why?
A medication is 75% effective against a bacterial infection. Find the probability that if 12 people take the medication, at least 1 person’s infection will not improve.
Video games are rated according to the content. The average age of a gamer is 35 years old. In 2015, 15.5% of the video games were rated Mature. Choose 5 purchased games at random. Find the probability thata. None of the five were rated mature.b. At least 1 of the 5 was rated mature.
In recent years it was thought that approximately 1 in 110 children exhibited some form of autism. The most recent CDC study concluded that the proportion may be as high as 1 in 88. If indeed these new figures are correct, choose 3 children at random and find these probabilities.a. What is the
If 5 cards are drawn at random from a deck of 52 cards and are not replaced, find the probability of getting at least one diamond.
According to FlightStats report released April 2013, the Salt Lake City airport led major U.S. airports in on-time arrivals with an 85.5% on-time rate. Choose 5 arrivals at random and find the probability that at least 1 was not on time.
According to the Statistical Abstract of the United States, 70.3% of females ages 20 to 24 have never been married. Choose 5 young women in this age category at random. Find the probability thata. None has ever been marriedb. At least 1 has been married
In a department store there are 120 customers, 90 of whom will buy at least 1 item. If 5 customers are selected at random, one by one, find the probability that all will buy at least 1 item.
It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996.Choose one fatality at random and find each probability.a. Given that the death was after 2000, what is the
In a pizza restaurant, 95% of the customers order pizza. If 65% of the customers order pizza and a salad, find the probability that a customer who orders pizza will also order a salad.
Below is given the summary from the 112th Congress of Senators whose terms end in 2013, 2015, or 2017.Choose one of these Senators at random and finda. P(Democrat and term expires in 2015)b. P(Republican or term expires in 2013)c. P(Republican given term expires in 2017)Are the events
At a large university, the probability that a student takes calculus and is on the dean’s list is 0.042. The probability that a student is on the dean’s list is 0.21. Find the probability that the student is taking calculus, given that he or she is on the dean’s list.
At the Avonlea Country Club, 73% of the members play bridge and swim, and 82% play bridge. If a member is selected at random, find the probability that the member swims, given that the member plays bridge.
Twenty-five percent of all deaths (all ages) are caused by diseases of the heart. Ischemic heart disease accounts for 16.4% of all deaths and heart failure for 2.3%. Choose one death at random. What is the probability that it is from ischemic heart disease given that it was from heart disease?
Roll two standard dice and add the numbers. What is the probability of getting a number larger than 9 for the first time on the third roll?
For a recent year, 0.99 of the incarcerated population is adults and 0.07 of the incarcerated are female. If an incarcerated person is selected at random, find the probability that the person is a female given that the person is an adult.
Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.
In a box of 12 batteries, 2 are dead. If 2 batteries are selected at random for a flashlight, find the probability that both are dead. Would you consider this event likely or unlikely?
At a gathering consisting of 10 men and 20 women, two door prizes are awarded. Find the probability that both prizes are won by men. The winning ticket is not replaced. Would you consider this event likely or unlikely to occur?
In a scientific study there are 8 guinea pigs, 5 of which are pregnant. If 3 are selected at random without replacement, find the probability that all are pregnant.
Four cards are drawn from a desk without replacement. Find these probabilities.a. All cards are jacks.b. All cards are black cards.c. All cards are hearts.
A flashlight has 6 batteries, 2 of which are defective. If 2 are selected at random without replacement, find the probability that both are defective.
Smart TVs have seen success in the United States market. During the 2nd quarter of 2015 45% of TVs sold in the United States were Smart TVs. That’s an increase of 11% from 2014. Choose three households and find the probability thata. None of the 3 households had a Smart TVb. All 3 households had
A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following.a. The probability that the first marble is red and the second is whiteb. The probability that both are the same colorc. The probability that
Seventy-five percent of female prison inmates are mothers. If 3 female prison inmates are selected at random, what is the probability that none are mothers?
In 2013 about 66% of full-time law enforcement workers were sworn officers, and of those, 88.4% were male. Females however make up 60.7% of civilian employees. Choose one law enforcement worker at random and find the following.a. The probability that she is a female sworn officerb. The probability
If 25% of U.S. federal prison inmates are not U.S. citizens, find the probability that 2 randomly selected federal prison inmates will not be U.S. citizens.
The Gallup Poll reported that 52% of Americans used a seat belt the last time they got into a car. If 4 people are selected at random, find the probability that they all used a seat belt the last time they got into a car.
Events A and B are mutually exclusive with P(A) equal to 0.392 and P(A or B) equal to 0.653. Finda. P(B)b. P(not A)c. P(A and B)
The probability of event A occurring is m/(2m + n), and the probability of event B occurring is n/(2m + n). Find the probability of A or B occurring if the events are mutually exclusive.
For a recent year, about 11 billion pounds of apples were harvested. About 4.4 billion pounds of apples were made into apple juice, about 1 billion pounds of apples were made into apple sauce, and 1 billion pounds of apples were used for other commercial purposes. If 1 billion pounds of apples were
Suppose that P(A) = 0.42, P(B) = 0.38, and P(A or B) = 0.70. Are A and B mutually exclusive? Explain.
In Exercise 28, find the probability that the buyer will not want a two-car garage.In exerciseIn 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 select
The probability that a customer selects a pizza with mushrooms or pepperoni is 0.55, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability of the customer selecting both items.
If one card is drawn from an ordinary deck of cards, find the probability of getting each event:a. A 7 or an 8 or a 9b. A spade or a queen or a kingc. A club or a face cardd. An ace or a diamond or a hearte. A 9 or a 10 or a spade or a club
The data show the U.S. population by age.Under 20 years...............27.0%20 years and over..............73.065 years and over..............13.1Choose one person from the United States at random. Find the probability that the person isa. From 20 years to 64 yearsb. Under 20 or 65 and overc. Not 65
The following doctors were observed on staff at a local hospital.Choose one doctor at random; what is the probability thata. She is a pathologist?b. He is an orthopedist or an MD? Doctor of Osteopathy MD 6. Pathology Pediatrics Orthopedics 2 2 20
The probability that John will drive to school is 0.37, the probability that he will ride with friends is 0.23, and the probability that his parents will take him is 0.4. He is not allowed to have passengers in the car when he is driving. What is the probability that John will have company on the
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