Solutions for INTRODUCTORY STATISTICS (LOOSELEAF)
Problem 1SE:
Simulation (Example 1) If we flip a coin 10 times, what percentage of the time will the coin land on...Problem 2SE:
Simulation Suppose you are carrying out a randomized experiment to test if there is a difference in...Problem 3SE:
Empirical versus Theoretical A Monopoly player claims that the probability of getting a 4 when...Problem 4SE:
Empirical versus Theoretical A person was trying to figure out the probability of getting two heads...Problem 5SE:
Empirical versus Theoretical A student flips a coin 10 times and sees that it landed on tails 4...Problem 6SE:
Empirical versus Theoretical A bag of candy contains 3 red candies and 7 brown candies. A friend...Problem 7SE:
Medical Group A medical practice group consists of seven doctors, four women and three men. The...Problem 8SE:
Teacher Effectiveness A recent study found that highly experienced teachers may be associated with...Problem 9SE:
Probability For each of the values, state whether the number could be the probability of an event....Problem 10SE:
Probability For each of the values, state whether the number could be the probability of an event....Problem 11SE:
Cards (Example 2) There are four suits: clubs , diamonds , hearts , and spades , and the following...Problem 12SE:
Playing Cards Refer to exercise 5.11 for information about cards. If you draw one card randomly from...Problem 13SE:
Guessing on Tests a. On a true/false quiz in which you are guessing, what is the probability of...Problem 14SE:
Guessing on Tests Consider a multiple-choice test with a total of four possible options for each...Problem 15SE:
Four Coin Tosses (Example 3) The sample space given here shows all possible sequences for tossing a...Problem 16SE:
Three Children The sample space shows all possible sequences of child gender for a family with 3...Problem 17SE:
Birthdays What is the probability that a baby will be born on a Friday OR a Saturday OR a Sunday if...Problem 18SE:
Playing Cards If one card is selected from a well-shuffled deck of 52 cards, what is the probability...Problem 19SE:
Vacations (Example 4) The Gallup poll asked respondents if they had taken a vacation in the last...Problem 20SE:
Reading The Pew Research Center asked a sample of adults if they had read a book in any format in...Problem 21SE:
Marijuana Legalization (Example 5) A Gallup poll asked a sample of voters if marijuana should be...Problem 22SE:
Marijuana Legalization Use the data in exercise 5.21 to answer the following: a. If a person is...Problem 23SE:
Gender Discrimination in Tech (Example 6) A Pew Research poll asked respondents to fill in the blank...Problem 24SE:
Gender Discrimination in Tech Use the data in exercise 5.23 to answer the following: a. What is the...Problem 25SE:
Mutually Exclusive Suppose a person is selected at random from a large population. a. Label each...Problem 26SE:
Mutually Exclusive Suppose a student is selected at random from a large college population. a. Label...Problem 27SE:
Vacations (Mutually Exclusive) (Example 7) Referring to the table given in exercise 5.19, name a...Problem 28SE:
Vacations (Not Mutually Exclusive) Refer to the table in exercise 5.19. Suppose we select one person...Problem 29SE:
Fair Die (Example 8) Roll a fair six-sided die. a. What is the probability that the die shows an...Problem 30SE:
Fair Die Roll a fair six-sided die. a. What is the probability that the die shows an even number or...Problem 31SE:
Grades Assume that the only grades possible in a history course are A, B, C, and lower than C. The...Problem 32SE:
Changing Multiple-Choice Answers One of the authors did a survey to determine the effect of students...Problem 33SE:
Commuting A college conducted a student survey to learn about commute patterns. Students were given...Problem 34SE:
Political Parties Political science researchers often classify voters according to their political...Problem 35SE:
Super Powers (Example 9) A 2018 Marist poll asked respondents what superpower they most desired. The...Problem 36SE:
Online Presence A 2018 Pew poll asked U.S. adults how often they go online. The responses are shown...Problem 37SE:
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is...Problem 38SE:
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is...Problem 39SE:
Multiple-Choice Exam An exam consists of 12 multiple-choice questions. Each of the 12 answers is...Problem 40SE:
Driving Exam A driving exam consists of 30 multiple-choice questions. Each of the answers is either...Problem 41SE:
Equal Rights for Women (Example 10) A recent Pew Research poll asked respondents to fill in the...Problem 42SE:
Equal Rights for Women A person is selected randomly from the entire group whose responses are...Problem 43SE:
Frequent Stress (Example 11) A Gallup poll asked people with and without children under 18 years old...Problem 44SE:
Frequent Stress Use the data in exercise 5.43 for this problem. Note: Your answers to each of these...Problem 45SE:
Independent? Suppose a person is chosen at random. Use your understanding about the world of...Problem 46SE:
Independent? About 12#37; of men and 10#37; of women are left-handed. If we select a person at...Problem 47SE:
Independent? Suppose a person is chosen at random. Use your knowledge about the world to decide...Problem 48SE:
Independent? Ring sizes typically range from about 3 to about 14. Based on what you know about...Problem 49SE:
Equal Rights Poll (Example 12) Refer to the table in Exercise 5.41. Suppose a person is randomly...Problem 50SE:
Equal Rights Poll Assume a person is selected randomly from the group of people represented in the...Problem 51SE:
Hand Folding (Example 13) When people fold their hands together with interlocking fingers, most...Problem 52SE:
Dice When two dice are rolled, is the event “the first die shows a 1 on top” independent of the...Problem 53SE:
TV News Source and Gender (Example 14) A 2018 Pew Research Center report asked people who got their...Problem 54SE:
TV News Source and Gender Using the table in exercise 5.53, determine whether being female is...Problem 55SE:
Coin (Example 15) Imagine flipping three fair coins. a. What is the theoretical probability that all...Problem 56SE:
Die Imagine rolling a fair six-sided die three times. a. What is the theoretical probability that...Problem 57SE:
Die Sequences (Example 16) Roll a fair six-sided die five times, and record the number of spots on...Problem 58SE:
Babies Assume that babies born are equally likely to be boys (B) or girls (G). Assume a woman has...Problem 59SE:
Vacations (Example 17) According to a recent Gallup poll, 62#37; of Americans took a vacation away...Problem 60SE:
Landlines and Cell Phones According to the National Center for Health Statistics, 52#37; of U.S....Problem 61SE:
Cervical Cancer (Example 18) According to a study published in Scientific American, about 8 women in...Problem 62SE:
Cervical Cancer About 8 women in 100,000 have cervical cancer C, so PC=0.00008 and P(no C) =0.99992....Problem 63SE:
Rolling Sixes (Example 19) What’s the probability of getting at least one six when you roll two...Problem 64SE:
Rolling a Sum of 7 What’s the probability of rolling two numbers whose sum is 7 when you roll two...Problem 65SE:
Multiple-Choice Test (Example 20) A multiple-choice test has 30 questions. Each question has three...Problem 66SE:
True/False Test A true/false test has 20 questions. Each question has two choices (true or false),...Problem 67SE:
Simulating Coin Flips (Example 21) a. Use the line of random numbers below to simulate flipping a...Problem 68SE:
Simulating Rolling a Die a. Explain how you could use digits from a random number table to simulate...Problem 69SE:
Law of Large Numbers Refer to Histograms A, B, and C, which show the relative frequencies from...Problem 70SE:
Law of Large Numbers The table shows the results of rolling a fair six-sided die. Using the table,...Problem 71SE:
Coin Flips Imagine flipping a fair coin many times. Explain what should happen to the proportion of...Problem 72SE:
Coin Flips, Again Refer to the following figure. a. After a large number of flips, the overall...Problem 73SE:
Law of Large Numbers: Gambling Betty and Jane are gambling. They are cutting cards (picking a random...Problem 74SE:
LLN: Grandchildren Consider two pairs of grandparents. The first pair has 4 grandchildren, and the...Problem 75SE:
LLN: Coin If you flip a fair coin repeatedly and the first four results are tails, are you more...Problem 76SE:
LLN: Die The graph shows the average when a six-sided die is rolled repeatedly. For example, if the...Problem 77SE:
Jury Duty A jury is supposed to represent the population. We wish to perform a simulation to...Problem 78SE:
Left-handed Some estimates say that 10#37; of the population is left-handed. We wish to design a...Problem 79SE:
Simulation: Four-Sided Die a. Explain how you could use a random number table (or the random numbers...Problem 80SE:
Simulation: Six-Sided Die a. Explain how you could use a random number table to simulate rolling a...Problem 83CRE:
Independent Variables Use your general knowledge to label the following pairs of variables as...Problem 84CRE:
Independent Variables Use your general knowledge to label the following pairs of variables as...Problem 89CRE:
Birthdays Suppose all the days of the week are equally likely as birthdays. Alicia and David are two...Problem 90CRE:
Pass Rate of Written Driver’s Exam In California, about 92#37; of teens who take the written...Problem 92CRE:
Reading Habits In 2016 the Pew Research Center asked a sample of American adults which of the...Problem 96CRE:
Cell Phone Security A 2017 Pew Research poll found that 28#37; of cell phone users do not use a...Problem 97CRE:
Coin Flips Let H stand for heads and let T stand for tails in an experiment where a fair coin is...Problem 100CRE:
Online Dating The Pew Research Center asked a sample of Americans, “Do you know someone who has...Problem 101CRE:
CA Bar Exam In order to practice law, lawyers must pass the bar exam. In California, the passing...Problem 102CRE:
Driving Tests In addition to behind-the-wheel tests, states require written tests before issuing...Problem 103CRE:
California Recidivism and Gender Women return to prison at a lower rate than men do (58.0#37; for...Problem 104CRE:
Blue Eyes About 17#37; of American men have blue eyes and 17#37; of American women have blue eyes....Problem 107CRE:
Law of Large Numbers A famous study by Amos Tversky and Nobel laureate Daniel Kahneman asked people...Problem 108CRE:
Law of Large Numbers A certain professional basket-ball player typically makes 80#37; of his basket...Problem 109CRE:
Climate Change and Political Party In 2016 a Pew Research poll asked a sample of Americans if they...Problem 110CRE:
Climate Change and Political Party Refer to the table in exercise 5.109. a. If one person is chosen...Problem 122CRE:
Multiple-Choice Test A multiple-choice test has 10 questions. Each question has four choices, but...Problem 123CRE:
Simulating Guessing on a Multiple-Choice Test Suppose a student takes a 10-question multiple-choice...Problem 124CRE:
Simulating Guessing on a True/False Test Perform a simulation of a student guessing on a true/false...Browse All Chapters of This Textbook
Chapter 1 - Introduction To DataChapter 2 - Picturing Variation With GraphsChapter 3 - Numerical Summaries Of Center And VariationChapter 4 - Regression Analysis: Exploring Associations Between VariablesChapter 5 - Modeling Variation With ProbabilityChapter 6 - Modeling Random Events: The Normal And Binomial ModelsChapter 7 - Survey Sampling And InferenceChapter 8 - Hypothesis Testing For Population ProportionsChapter 9 - Inferring Population MeansChapter 10 - Associations Between Categorical Variables
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