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mathematics
elementary statistics picturing
Elementary Statistics Picturing The World 7th Edition Ron Larson, Betsy Farber - Solutions
Probability experiment consists of rolling a 12-sided die, numbered 1 to 12. Find the probability of the event.Event C: rolling a number greater than 4
Probability experiment consists of rolling a 12-sided die, numbered 1 to 12. Find the probability of the event.Event B: rolling a 10
Probability experiment consists of rolling a 12-sided die, numbered 1 to 12. Find the probability of the event.Event A: rolling a 2
Assuming that no questions are left unanswered, in how many ways can a six-question true or false quiz be answered?Use the Fundamental Counting Principle.
A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of four digits. The first digit cannot be zero and the last digit must be even. How many different codes are available?Use the Fundamental Counting Principle.
A tablet has 4 choices for an operating system, 3 choices for a screen size, 4 choices for a processor, 6 choices for memory size, and 3 choices for a battery. How many ways can you customize the tablet?Use the Fundamental Counting Principle.
A restaurant offers a $15 dinner special that lets you choose from 6 appetizers, 12 entrées, and 8 desserts. How many different meals are available when you select an appetizer, an entrée, and a dessert?Use the Fundamental Counting Principle.
You randomly select one card from a standard deck of 52 playing cards. Event B is selecting the ace of spades.Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
You randomly select one card from a standard deck of 52 playing cards. Event A is selecting a diamond.Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
A spreadsheet is used to randomly generate a number from 1 to 4000. Event B is generating a number less than 500.Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
A spreadsheet is used to randomly generate a number from 1 to 2000. Event A is generating the number 253.Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.
In a recent season, hockey player Evgeni Malkin scored 27 goals in 57 games he played. Assume that his goal production stayed at that level for the next season. Find the probability that he would get his first goal (a) in the first game of the season, (b) in the second game of the
Thirty-six percent of Americans think there is still a need for the practice of changing their clocks for Daylight Savings Time. You randomly select seven Americans. Find the probability that the number of Americans who say there is still a need for changing their clocks for Daylight Savings Time
During a 77-year period, tornadoes killed about 0.27 people per day in the United States. Assume this rate holds true today and is constant throughout the year. Find the probability that the number of people in the United States killed by a tornado tomorrow is (a) Exactly zero, (b) At
Eighty-two percent of people using electronic cigarettes (vapers) are ex-smokers of conventional cigarettes. You randomly select 10 vapers. Find the probability that the first vaper who is an ex-smoker of conventional cigarettes is (a) The second person selected, (b) The fourth or fifth
Fifty-six percent of college student-athletes receive athletics scholarships. You randomly select five college student-athletes and ask whether they receive athletics scholarships. The random variable represents the number of college student-athletes who receive athletics scholarships.Find the
About 13% of U.S. drivers are uninsured. You randomly select eight U.S. drivers and ask them whether they are uninsured. The random variable represents the number of U.S. drivers who are uninsured.Find the mean, variance, and standard deviation of the binomial distribution for the given random
Eighty-eight percent of U.S. adults use the Internet. You randomly select six U.S. adults and ask them whether they use the Internet. The random variable represents the number of U.S. adults who use the Internet.(a) Construct a binomial distribution. (b) Graph the binomial distribution using a
Seventy-six percent of stay-at-home mothers have a college degree or higher. You randomly select five stay-at-home mothers and ask them whether they have a college degree or higher. The random variable represents the number of stay-at-home mothers who have a college degree or higher.(a) Construct a
Sixty-two percent of U.S. adults get news on social media sites. You randomly select five U.S. adults. Find the probability that the number of U.S. adults who get news on social media sites is (a) Exactly two, (b) At least two, and (c) More than two.Find the indicated binomial
Eighty-eight percent of U.S. civilian full-time employees have access to medical care benefits. You randomly select nine civilian full-time employees. Find the probability that the number of civilian full-time employees who have access to medical care benefits is (a) Exactly six, (b) At
Thirty-nine percent of U.S. adults have a gun in their home. You randomly select 12 U.S. adults. Find the probability that the number of U.S. adults who have a gun in their home is (a) Exactly two, (b) At least two, and (c) More than two.Find the indicated binomial probabilities. If
Fifty-three percent of U.S. adults want to lose weight. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who want to lose weight is (a) Exactly three, (b) At least three, and (c) More than three.Find the indicated binomial probabilities. If
A fair coin is tossed repeatedly until 15 heads are obtained. The random variable x counts the number of tosses.Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. If it is
Bags of milk chocolate M&M’s contain 16% green candies. One candy is selected from each of 12 bags. The random variable represents the number of green candies selected.Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q,
The random variable x represents the number of classes in which a student is enrolled in a given semester at a university.Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. 5 4 3 6. 27 20 P(x) 120 10 80 3.
The random variable x represents the number of tickets a police officer writes out each shift.Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. 5 1 3 0.09 0.23 0.29 0.21 P(x) 0.16 0.02
The number of hits per game played by a Major League Baseball player.(a) Construct a probability distribution, and (b) Graph the probability distribution using a histogram and describe its shape. Hits 3 3 4 Games 62 33 3 29 12 3. 2.
Let x represent the weight of a truck at a weigh station.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the number of pumps in use at a gas station.Determine whether the random variable x is discrete or continuous. Explain.
The mean number of bankruptcies filed per hour by businesses in the United States in 2016 was about 2.8. (a) Find the variance and the standard deviation. Interpret the results.(b) Find the probability that at most five businesses will file bankruptcy in any given hour.Use the fact that the
In a recent year, the mean number of strokes per hole for golfer Steven Bowditch was about 4.1. (a) Find the variance and standard deviation. Interpret the results. (b) Find the probability that he would play an 18-hole round and have more than 72 strokes.Use the fact that the variance of
In Akron, Ohio, the mean number of days in April with 0.01 inch or more of precipitation is 14. Find the probability that the number of days in April with 0.01 inch or more of precipitation in Akron is (a) Exactly 17 days, (b) At most 17 days, and (c) More than 17 days.Find the
Sixty-eight percent of undergraduate students admit to cheating on tests or in written work. You randomly select six undergraduate students. Find the probability that the number of undergraduate students who admit to cheating on tests or in written work is (a) Exactly four, (b) More than
Sixty-eight percent of parents of children ages 8–14 say they are willing to get a second or part-time job to pay for their children’s college education. You randomly select five parents. Find the probability that the number of parents who say they are willing to get a second or part-time job
Sixty-three percent of U.S. teenagers say that they use Instagram daily. You randomly select seven U.S. teenagers. Find the probability that the number of U.S. teenagers who say that they use Instagram daily is (a) Exactly two (b) More than three, and (c) Between one and four,
Fifty-one percent of U.S. adults oppose hydraulic fracturing (fracking) as a means of increasing the production of natural gas and oil in the United States. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who oppose fracking as a means of increasing the
The mean number of organ transplants from living donors performed per day in the United States in 2016 was about 16. Find the probability that the number of organ transplants from living donors performed on any given day is (a) Exactly 12, (b) At least eight, and (c) No more than
The mean number of hurricanes to strike the U.S. mainland per year from 1851 through 2015 was about 1.7. Find the probability that the number of hurricanes striking the U.S. mainland in any given year from 1851 through 2015 is (a) Exactly one, (b) At most one, and (c) More than
Football player Ben Roethlesberger completes a pass 64.1% of the time. Find the probability that (a) The first pass he completes is the second pass, (b) The first pass he completes is the first or second pass, and (c) He does not complete his first two passes.Find the indicated
The mean number of international migrants gained per minute in the United States in a recent year was about two. Find the probability that the number of international migrants gained in any given minute is (a) Exactly five (b) At least five, and (c) More than five.Find the indicated
In your own words, describe the difference between the value of x in a binomial distribution and in the Poisson distribution.
In your own words, describe the difference between the value of x in a binomial distribution and in a geometric distribution.
Find the indicated probability using the Poisson distribution.Find P(5) when μ = 9.8.
Find the indicated probability using the Poisson distribution.Find P(2) when μ = 1.5.
Find the indicated probability using the Poisson distribution.Find P(3) when μ = 6.
Find the indicated probability using the Poisson distribution.Find P(4) when μ = 5.
Find the indicated probability using the geometric distribution.Find P(8) when p = 0.28.
Find the indicated probability using the geometric distribution.Find P(5) when p = 0.09.
Find the indicated probability using the geometric distribution.Find P(1) when p = 0.45.
Find the indicated probability using the geometric distribution.Find P(3) when p = 0.65.
An assembly line produces 10,000 automobile parts. Twenty percent of the parts are defective. An inspector randomly selects 10 of the parts.(a) Use the Multiplication Rule (discussed in Section 3.2) to find the probability that none of the selected parts are defective. (Note that theevents are
Ten percent of college graduates think that Judge Judy serves on the Supreme Court. You randomly select five college graduates and ask them whether they think that Judge Judy serves on the Supreme Court. The random variable represents the number of college graduates whothink that Judge Judy serves
Thirty-two percent of U.S. employees who are late for work blame oversleeping. You randomly select six U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping.Find the
Thirty-six percent of likely U.S. voters think that the federal government should get more involved in fighting local crime. You randomly select five likely U.S. voters and ask them whether they think that the federal government should get more involved in fighting local crime. The random variable
Seventy-nine percent of U.S. adults believe that life on other planets is plausible. You randomly select eight U.S. adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is
Fifty percent of adults are offended by how men portray women in rap and hip-hop music. You randomly select four adults and ask them whether they are offended by how men portray women in rap and hip-hop music. The random variable represents the number of adults who are offended by how men portray
Seventy-one percent of U.S. adults think that political correctness is a problem in America today. You randomly select seven U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that
Fifty-seven percent of school districts offer locally sourced fruits and vegetables in their meal programs. You randomly select eight school districts and ask them whether they offer locally sourced fruits and vegetables in their meal programs. The random variable represents the number of school
Seventy-seven percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age 100. The random variable represents the number of adults who want to live to age 100.(a) Construct a binomial distribution, (b) Graph the binomial distribution
Fifty-seven percent of employees judge their peers by the cleanliness of their workspaces. You randomly select 10 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the
Forty-nine percent of working mothers do not have enough money to cover their health insurance deductibles. You randomly select seven working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers
Forty-four percent of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 15 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) Exactly seven, (b) More
Four percent of the U.S. workforce test positive for illicit drugs. You randomly select 14 workers. Find the probability that the number of workers who test positive for illicit drugs is (a) Exactly two, (b) More than two, and (c) Between two and five, inclusive.Find the indicated
Twenty percent of consumers prefer to purchase groceries online. You randomly select 16 consumers. Find the probability that the number of consumers who prefer to purchase groceries online is (a) Exactly one, (b) More than one, and (c) At most one.Find the indicated probabilities. If
Forty percent of consumers prefer to purchase electronics online. You randomly select 11 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) Exactly five, (b) More than five, and (c) At most fiveFind the indicated
Eleven percent of U.S. adults eat fast food four to six times per week. You randomly select 12 U.S. adults. Find the probability that the number of U.S. adults who eat fast food four to six times per week is (a) Exactly five, (b) At least two, and (c) Less than three.Find the
Fifty-six percent of U.S. adults say they intend to get a flu shot. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who intend to get a flu shot is (a) Exactly four, (b) At least five, and (c) Less than seven.Find the indicated probabilities.
Thirty-six percent of U.S. adults favor the use of unmanned drones by police agencies. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) Exactly four, (b) At least two, and (c) Less
Thirty-four percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) Exactly six, (b) At least four, and (c) Less than five.Find
A survey found that 42% of women ages 18 to 33 are mothers. Eight women ages 18 to 33 are randomly selected. The random variable represents the number of women ages 18 to 33 who are mothers.Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values
A state lottery official randomly chooses 6 balls numbered from 1 through 40 without replacement. You choose six numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery.Determine whether the experiment is a
You draw five cards, one at a time, from a standard deck. You do not replace a card once it is drawn. The random variable represents the number of cards that are hearts.Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and
A survey found that 36% of frequent gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones.Determine whether the experiment is a binomial experiment. If it is,
Identify the unusual values of x in each histogram in Exercises 6–8.Data from exercises 6-8: 7. 6. 8. P(x) P(x) P(x) 0.40- 0.40 0.30 0.40 0.30 0.30 0.20 0.10 0.20 0.20 0.10 0.10 O 2 4 6 8 10 12 0 2 4 6 8 10 12 0 2 4 6 8 10 12
Identify the unusual values of x in each histogram in Exercises 3–5.Data from exercises 3-5: 3. 4. 5. P(x) P(x) P(x) 0.40 0.40 0.40 0.30 0.20 0.30 0.30 0.20 0.10 0.20 0.10 0.10 o i 2 3 4 5 0 1 2 3 4 5 01 2 3 4 5
The histogram represents a binomial distribution with 5 trials. Match the histogram with the appropriate probability of success p. Explain your reasoning.(a) p = 0.25 (b) p = 0.50 (c) p = 0.75 P(x) 0.40 0.30 0.20 0.10 0 1 2 3 4 5
The histogram represents a binomial distribution with 5 trials. Match the histogram with the appropriate probability of success p. Explain your reasoning.(a) p = 0.25 (b) p = 0.50 (c) p = 0.75 P(x) 0.40 0.30 0.20 0.10- 0 1 2 3 4 5
The histogram represents a binomial distribution with 5 trials. Match the histogram with the appropriate probability of success p. Explain your reasoning.(a) p = 0.25 (b) p = 0.50 (c) p = 0.75 P(x) 0.40 0.30 0.20 0.10 0 1 2 3 4 5
In a binomial experiment with n trials, what does the random variable measure?
In a binomial experiment, what does it mean to say that each trial is independent of the other trials?
What is the standard deviation of the difference of their scores?The distribution of SAT mathematics scores for college-bound male seniors in 2016 has a mean of 524 and a standard deviation of 126. The distribution of SAT mathematics scores for college-bound female seniors in 2016 has a mean of 494
What is the average sum of their scores? What is the average difference of their scores?
The mean annual salary of employees at an office is originally $44,000 with a variance of 18,000,000. Each employee receives an annual bonus of $1000 and a 3.5% raise (based on salary). What is the standard deviation of the new salaries?
The mean annual salary of employees at an office is originally $46,000. Each employee receives an annual bonus of $600 and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise)?
A high school basketball team is selling $10 raffle tickets as part of a fund-raising program. The first prize is a trip to the Bahamas valued at $5460, and the second prize is a weekend ski package valued at $496. The remaining 18 prizes are $100 gas cards. The number of tickets sold is 3500.Find
In a game of chance, what is the relationship between a “fair bet” and its expected value? Explain.
The expected value of an accountant’s profit and loss analysis is 0. Explain what this means.
(a) Find the mean, variance, and standard deviation of the probability distribution, and (b) Interpret the results.The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. Reviewer Ratings P(x) 0.445 0.45 0.40 0.35 0.30 0.238 0.25 0.212
(a) Find the mean, variance, and standard deviation of the probability distribution, and (b) Interpret the results.The number of defects per 1000 machine parts inspected Defects 2 3 4 5 0.285 Probability 0.014 0.263 0.243 0.154 0.041
(a) Find the mean, variance, and standard deviation of the probability distribution, and (b) Interpret the results.The number of games played in each World Series from 1903 through 2016 6. 8 Games played 4 0.223 0.188 Probability 0.214 0.348 0.027
Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. 3 5 P(x) 25 50 10 20 100 4- -18 2. -18 -12
Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. 2 3 4 0.25 0.15 P(x) 0.30 0.25 0.05
Determine the missing probability for the probability distribution. 3 5 6. 0.23 0.21 0.17 0.11 0.08 P(x) 0.05
In Exercise 20, would it be unusual for an employee to work two hours of overtime? Explain your reasoning.Data from Exercise 20:The number of overtime hours worked in one week per employee. Overtime hours 3 4 5 57 42 30 Employees 12 29 16
In Exercise 19, would it be unusual for a household to have no HD televisions? Explain your reasoning.Data from exercise 19:The number of high-definition (HD) televisions per household in a small town Televisions 3 Households 442 728 1404 26
Let x represent the snowfall (in inches) in Nome, Alaska, last winter.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the number of texts a student sends in one day.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the number of tornadoes in the month of May in Oklahoma.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the volume of blood drawn for a blood test.Determine whether the random variable x is discrete or continuous. Explain.
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