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mathematics
elementary statistics picturing

Elementary Statistics Picturing The World 7th Edition Ron Larson, Betsy Farber - Solutions

Let x represent the length of time it takes to complete an exam.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the number of cars in a university parking lot.Determine whether the random variable x is discrete or continuous. Explain.
The total annual arrests (in millions) in the United StatesDetermine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. 11 12 13 10 Arrests
The distance a baseball travels after being hit.Determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. 100 200 300 400 500 600 Distance (in feet)
The length of time student-athletes practice each week.Determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. 12 16 Time (in hours) 4 20 4,
According to a study, 80% of K–12 schools or districts in the United States use digital content such as ebooks, audio books, and digital textbooks. Of these 80%, 4 out of 10 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses
According to a survey, 49% of U.S. adults have purchased a state lottery ticket in the past 12 months. Of these 49%, about 27.5% have annual incomes less than $36,000.(a) Find the probability that a randomly selected U.S. adult purchased a state lottery ticket in the past 12 months and has an
In a recent year, about 1.6% of all infants born in the U.S. were conceived through in vitro fertilization (IVF). Of the IVF deliveries, about 41.1% resulted in multiple births.(a) Find the probability that a randomly selected infant was conceivedthrough IVF and was part of a multiple
The probability that a Caucasian person in the United States has type AB- blood is 1%. Four unrelated Caucasian people in the United States are selected at random. (a) Find the probability that all four have type AB- blood.(b) Find the probability that none of the four have type AB- blood.(c)
The probability that an African American person in the United States has type O+ blood is 47%. Six unrelated African American people in the United States are selected at random.(a) Find the probability that all six have type O+ blood.(b) Find the probability that none of the six have type O+
In a sample of 1446 U.S. registered voters, 188 said that Richard Nixon was the worst president since World War II. Three registered voters are selected at random without replacement. (a) Find the probability that all three registered voters say that Richard Nixon was the worst president since
In a sample of 1446 U.S. registered voters, 217 said that John Kennedy was the best president since World War II. Two registered voters are selected at random without replacement. (a) Find the probability that both registered voters say that John Kennedy was the best president since World War
In a sample of 1000 U.S. adults, 300 said they know a murder victim. Four U.S. adults are selected at random without replacement.(a) Find the probability that all four adults know a murder victim.(b) Find the probability that none of the four adults knows a murder victim.(c) Find the probability
In a sample of 1000 U.S. adults, 200 think that most Hollywood celebrities are good role models. Two U.S. adults are selected at random without replacement. (a) Find the probability that both adults think that most Hollywood celebrities are good role models.(b) Find the probability that
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a heart and then selecting a club.Use the Multiplication Rule.
According to researchers, high engagement with mobile technology for escapism is linked to depression and anxiety in college-age students.Identify the two events described in the study. Do the results indicate that the events are independent or dependent? Explain your reasoning.
A study found that there is no relationship between playing violent video games and aggressive or bullying behavior in teenagers.Identify the two events described in the study. Do the results indicate that the events are independent or dependent? Explain your reasoning.
Certain components in coffee have been found to cause the body to produce higher amounts of acid, which can irritate already existing stomach ulcers. But, coffee does not cause stomach ulcers.Identify the two events described in the study. Do the results indicate that the events are independent or
A study found that people who suffer from obstructive sleep apnea are at increased risk of having heart disease.Identify the two events described in the study. Do the results indicate that the events are independent or dependent? Explain your reasoning.
A ball is selected from a bin of balls numbered from 1 through 52. It is replaced, and then a second numbered ball is selected from the bin.Determine whether the events are independent or dependent. Explain your reasoning.
Rolling a six-sided die and then rolling the die a second time so that the sum of the two rolls is five.Determine whether the events are independent or dependent. Explain your reasoning.
Not putting money in a parking meter and getting a parking ticket.Determine whether the events are independent or dependent. Explain your reasoning.
Returning a rented movie after the due date and receiving a late fee.Determine whether the events are independent or dependent. Explain your reasoning.
A father having hazel eyes and a daughter having hazel eyes.Determine whether the events are independent or dependent. Explain your reasoning.
Selecting a king from a standard deck of 52 playing cards, replacing it, and then selecting a queen from the deckDetermine whether the events are independent or dependent. Explain your reasoning.
The table shows the results of a survey in which 250 male and 250 female workers ages 25 to 64 were asked if they contribute to a retirement savings plan at work.(a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is
The table shows the numbers of male and female students in the United States who received bachelor’s degrees in business in a recent year.(a) Find the probability that a randomly selected student is male, given that the student received a business degree.(b) Find the probability that a randomly
If events A and B are dependent, then P(A and B) = P(A) • P(B).Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
If two events are independent, then P(A/B) = P(B).Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
Explain how to use the complement to find the probability of getting at least one item of a particular type.
What does the notation P(B/A) mean?
The attendance at concerts for a rock group.Determine whether the graph on the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. 40,000 45,000 50,000 Attendance
The expected value of a random variable can never be negative.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
The mean of the random variable of a probability distribution describes how the outcomes vary.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
For a random variable x, the word random indicates that the value of x is determined by chance.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
In most applications, continuous random variables represent counted data, while discrete random variables represent measured data.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
What does the mean of a probability distribution represent?
Is the expected value of the probability distribution of a random variable always one of the possible values of x? Explain.
There are 16 students giving final presentations in your history course.(a) Three students present per day. How many presentation orders are possible for the first day?(b) Presentation subjects are based on the units of the course. Unit B is covered by three students, Unit C is covered by five
A person is selected at random from the sample in Exercise 4. Are the events “the student is in sixth grade” and “the student is enrolled in Minnesota” independent or dependent? Explain your reasoning.Data from Exercise 4:The table shows the sixth, seventh, and eighth grade student
Which event(s) in Exercise 4 can be considered unusual? Explain your reasoning.Data from Exercise 4:The table shows the sixth, seventh, and eighth grade student enrollment levels (in thousands) in Minnesota and Ohio schools in a recent year.A student in one of the indicated grades and states is
The table shows the sixth, seventh, and eighth grade student enrollment levels (in thousands) in Minnesota and Ohio schools in a recent year.A student in one of the indicated grades and states is randomly selected. Find the probability of selecting a student who(a) is in sixth grade(b) is in sixth
Determine whether the events are mutually exclusive. Explain your reasoning.Event A: Randomly select a student born on the 30th of a monthEvent B: Randomly select a student with a birthday in February
Sixty-five runners compete in a 10k race. Your school has 12 runners in the race. What is the probability that three runners from your school place first, second, and third?
A class of 40 students takes a statistics exam. The results are shown in the table at the left. Three students are selected at random. What is the probability that(a) All three students received an A?(b) All three students received a C or better?(c) All three students received a D or an F?(d) All
A security code consists of three letters and one digit. The first letter cannot be A, B, or C. What is the probability of guessing the security code on the first try?Use counting principles to find the probability.
An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer choose to hire the 2 people?Use combinations and permutations.
A literary magazine editor must choose 4 short stories for this month’s issue from 17 submissions. In how many ways can the editor choose this month’s stories?Use combinations and permutations.
Five players on a basketball team must each choose a player on the opposing team to defend. In how many ways can the players choose their defensive assignments?Use combinations and permutations.
Fifteen cyclists enter a race. How many ways can the cyclists finish first, second, and third?Use combinations and permutations.
Perform the indicated calculation.5C3/10C3
Perform the indicated calculation.7C4
Perform the indicated calculation.8P6
Perform the indicated calculation.11P2
You are given that P(A or B) = 0.55 and P(A) + P(B) = 1. Do you have enough information to find P(A and B)? Explain.
You are given that P(A) = 0.15 and P(B) = 0.40. Do you have enough information to find P(A or B)? Explain.
Find the probability of randomly selecting an adult who does not identify as upper or lower class.Use the Pareto chart, which shows the results of a survey in which 3078 adults were asked with which social class they identify. Americans' Social Class Self-Identification 1500 1329 1200 900 929 600 -
Find the probability of randomly selecting an adult who does not identify as middle class.Use the Pareto chart, which shows the results of a survey in which 3078 adults were asked with which social class they identify. Americans' Social Class Self-Identification 1500 1329 1200 900 929 600 - 300 468
Find the probability of randomly selecting an adult who identifies as working or lower class.Use the Pareto chart, which shows the results of a survey in which 3078 adults were asked with which social class they identify. Americans' Social Class Self-Identification 1500 1329 1200 900 929 600 - 300
Find the probability of randomly selecting an adult who identifies as middle or upper-middle class.Use the Pareto chart, which shows the results of a survey in which 3078 adults were asked with which social class they identify. Americans' Social Class Self-Identification 1500 1329 1200 900 929 600
Find the probability of randomly selecting a school with 300 or more students.Use the pie chart at the left, which shows the percent distribution of the number of students in U.S. public schools in a recent year. Students in Public Schools 1000 or more 9.2% Fewer than 300 30.2% 500–999 300–499
The spinner shown at the left is spun. The spinner is equally likely to land on each number. Find the probability than the spinner lands on a multiple of 3 or a number greater than 5.Find the probability. 4 2
A sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans. Find the probability that a randomly chosen automobile from this sample is black or a sedan.
A random sample of 250 working adults found that 74% access the Internet at work, 88% access the Internet at home, and 72% access the Internet at both work and home. Find the probability that a person in this sample selected at random accesses the Internet at home or at work.
Event A: Randomly select a person who loves cats.Event B: Randomly select a person who owns a dog.Determine whether the events are mutually exclusive. Explain your reasoning.
Event A: Randomly select a red jelly bean from a jar.Event B: Randomly select a yellow jelly bean from the same jar.Determine whether the events are mutually exclusive. Explain your reasoning.
Getting high grades and being awarded an academic scholarship.Determine whether the events are independent or dependent. Explain your reasoning.
Taking a driver’s education course and passing the driver’s license exam.Determine whether the events are independent or dependent. Explain your reasoning.
Selecting an ace from a standard deck of 52 playing cards, and then selecting a jack from the deck without replacing the ace.Determine whether the events are independent or dependent. Explain your reasoning.
Tossing a coin four times, getting four heads, and tossing it a fifth time and getting a headDetermine whether the events are independent or dependent. Explain your reasoning.
Find the probability that a student passed, given that the student repeated the exam.Use the table, which shows the numbers of students from American Bar Association approved law schools who took the Bar Examination for the first time in a recent year and the numbers of students who repeated the
Find the probability that a student took the exam for the first time, given that the student failed.Use the table, which shows the numbers of students from American Bar Association approved law schools who took the Bar Examination for the first time in a recent year and the numbers of students who
What is the probability of not randomly generating your cousin’s telephone number on the first try?The telephone numbers for a region of Pennsylvania have an area code of 570. The next seven digits represent the local telephone numbers for that region. These cannot begin with a 0 or 1.Assume your
What is the probability of randomly generating your cousin’s telephone number on the first try?The telephone numbers for a region of Pennsylvania have an area code of 570. The next seven digits represent the local telephone numbers for that region. These cannot begin with a 0 or 1.Assume your
Find the probability that a randomly selected degree will not be in health professions or social sciences/history.Use the table, which shows the numbers (in thousands) of bachelor’s degrees for a recent year. Health Professions Social Sciences/ Business Psychology Other Degree History 178 361 181
Find the probability that a randomly selected degree will be in business or psychology.Use the table, which shows the numbers (in thousands) of bachelor’s degrees for a recent year. Health Professions Social Sciences/ Business Psychology Other Degree History 178 361 181 Percent 114 1006
The chance that a randomly selected person in the United States is between 17 and 23 years old is about 9.5%.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability of rolling 2 six-sided dice and getting a sum of 9 is 1/9.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability that a person can roll his or her tongue is 70%.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The chance that Corporation A’s stock price will fall today is 75%.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability of randomly selecting five cards of the same suit from a standard deck of 52 playing cards is about 0.002.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
On the basis of prior counts, a quality control officer says there is a 0.05 probability that a randomly chosen part is defective.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The state of Virginia’s license plates have three letters and four digits. Assuming that any letter or digit can be used, how many different license plates are possible?Use the Fundamental Counting Principle.
A student must choose from 7 classes to take at 8:00 a.m., 4 classes to take at 9:00 a.m., and 3 classes to take at 10:00 a.m. How many ways can the student arrange the schedule?Use the Fundamental Counting Principle.
Experiment: Guessing the gender(s) of the three children in a familyEvent: Guessing that the family has two boysIdentify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when appropriate.
Experiment: Choosing a month of the yearEvent: Choosing a month that begins with the letter JIdentify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when appropriate.
A pack of 100 recordable DVDs contains 5 defective disks. You select four disks. What is the probability of selecting at least three nondefective disks?
Find the probability of choosing two second-shift workers and two third-shift workers.A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment.
Find the probability of choosing four third-shift workers.A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment.
Find the probability of choosing three second-shift workers.A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment.
Find the probability of choosing five first-shift workers.A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment.
In a state lottery, you must correctly select 5 numbers (in any order) out of 40 to win the top prize. You purchase one lottery ticket. What is the probability that you will win the top prize?
You choose 4 adults at random. What is the probability that none of the four say only a few of their closest family and friends have food allergies or intolerances?Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends
You choose 6 adults at random. What is the probability that none of the six say some of their closest family and friends have food allergies or intolerances?Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have
You choose 3 adults at random. What is the probability that all three say none of their closest family and friends have food allergies or intolerances?Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food
You choose 2 adults at random. What is the probability that both say most of their closest family and friends have food allergies or intolerances?Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food
A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a three-topping pizza are pepperoni, onions, and mushrooms?
A horse race has 12 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
The University of California Health Services committee has five members. Two members are chosen to serve as the committee chair and vice chair. Each committee member is equally likely to serve in either of these positions. What is the probability of randomly selecting the chair and the vice chair?
The U.S. Senate Committee on Homeland Security and Governmental Affairs has 15 members. Two members are chosen to serve as the committee chair and the ranking member. Each committee member is equally likely to serve in either of these positions. What is the probability of randomly selecting the

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