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 81CRE Problem 82CRE 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 85CRE Problem 86CRE Problem 87CRE Problem 88CRE 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 91CRE Problem 92CRE: Reading Habits In 2016 the Pew Research Center asked a sample of American adults which of the... Problem 93CRE Problem 94CRE Problem 95CRE 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 98CRE Problem 99CRE 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 105CRE Problem 106CRE 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 111CRE Problem 112CRE Problem 113CRE Problem 114CRE Problem 115CRE Problem 116CRE Problem 117CRE Problem 118CRE Problem 119CRE Problem 120CRE Problem 121CRE 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... Problem 125CRE: Red Light/Green Light A busy street has three traffic lights in a row. These lights are not... Problem 126CRE: Soda A soda-bottling plant has a flaw in that 20#37; of the bottles it fills do not have enough soda... format_list_bulleted