Problem 1SE: Simulation (Example 1) If we flip a coin 10 times, how often do we get 6 or more heads? A first step... Problem 2SE: Simulation Suppose you are carrying out a randomized experiment to test whether loud music... 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 vs. Theoretical A friend flips a coin 10 times and says that the probability of getting a... Problem 6SE: Empirical vs. Theoretical A magician claims that he has a fair coin-“fair” because both sides, heads... Problem 7SE: Criminal Court Judges Criminal cases are assigned to judges randomly. The list of the criminal... Problem 8SE: Random Assignment of Professors A study randomly assigned students attending the Air Force Academy... Problem 9SE: Which of the following numbers could not be probabilities, and why? a.5.63b.0.063c.0.063d.163e.1.63 Problem 10SE: Which of the following numbers could not be probabilities, and why? a.125b.0.74c.0.001d.5.61e.150 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 Children (Example 3) The sample space given here shows all possible sequences for a family with... Problem 16SE: Three Coins The sample shows the possible sequences for flipping three fair coins or flipping one... 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: College Poll A StatCrunch poll asked people if college was worth the financial investment. They also... Problem 20SE: College Poll Refer to the table given for Exercise 5.19. a. If a person is chosen randomly, what is... Problem 21SE: College Pol: “AND” (Example4) Refer to the table given for Exercise 5.19. If a person is chosen... Problem 22SE: College Poll: “AND” Refer to the table given for Exercise 5.9. If person is chosen randomly from the... Problem 23SE: College Poll: “OR” (Example 5) Refer to the table given for Exercise 5.19. a. If a person is chosen... Problem 24SE: College Poll: OR Refer to the table given for Exercise 5.19. a. If a person is chosen randomly from... Problem 25SE: College Poll: "OR" (Example 6) Refer to the table given for Exercise 5.19. If a person is chosen... Problem 26SE: College Poll: OR Refer to the table given for Exercise 5.19. If a person is chosen randomly from the... Problem 27SE: College Poll: Mutually Exclusive (Example 7) Referring to the table given in Exercise 5.19. name a... Problem 28SE: College Poll: Not Mutually Exclusive Refer to the table given in Exercise 5.19. Suppose we select... Problem 29SE: Mutually Exclusive Suppose a person is selected at random from a large population. Label each pair... Problem 30SE: Mutually Exclusive Suppose a person is selected at random from a large population. Label each pair... Problem 31SE: "OR" for Homeowners In the United States, the percentage of adults who own their own home is about... Problem 32SE: "OR" with Rain Suppose a weather forecaster says the probability that it will rain on Saturday is 60... Problem 33SE: Fair Die (Example 8) Roll a fair six-sided die. a. What is the probability that the die shows an odd... Problem 34SE: Roll a Die Roll a fair six-sided die. a. What is the probability that the die shows an odd number OR... Problem 35SE: Grades Assume that the only grades possible in a history course are A, B, C, and lower than C. The... Problem 36SE: Changing Multiple-Choice Answers One of the authors did a survey to determine the effect of students... Problem 37SE: Voting Suppose that in an election, adults are classified as having voted, being registered to vote... Problem 38SE: Ages The mothers of Mrs. Moss's first grade students are in their twenties, thirties, and forties.... Problem 39SE: "AND" and "OR" Consider these categories of people, assuming that we are talking about all the... Problem 40SE: "AND" and "OR" Assume that we are talking about all students at your college. a. Which group is... Problem 41SE: "AND" and "OR" Considering all the adults in the United States, which group is larger: people who... Problem 42SE: "AND" and "OR" Considering all the students at your school, which group is larger: students who play... Problem 43SE: Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is... Problem 44SE: Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is... Problem 45SE: Multiple-Choice Exam An exam consists of 12 multiple-choice questions. Each of the 12 answers is... Problem 46SE: Driving Exam A driving exam consists of 30 multiple-choice questions. Each of the answers is either... Problem 47SE: College poll Again: Is College Worth it (Example 9) A person is selected randomly from the men in... Problem 48SE: College Poll A person is selected randomly from the entire group whose responses are summarized in... Problem 49SE: College Poll (Example 10) Use the data given in Exercise 5.47. a. Find the probability that a... Problem 50SE: College Poll Use the data given in Exercise 5.47. a. Find the probability that a randomly chosen... Problem 51SE: Independent? Suppose a person is chosen at random. Use your understanding about the world of... Problem 52SE: Independent? About 12#37; of men and 10#37; of women are left-handed. If we select a person at... Problem 53SE: Independent? Suppose a person is chosen at random. Use your knowledge about the world to decide... Problem 54SE: Independent? Ring sizes typically range from about 3 to about 14. Based on what you know about... Problem 55SE: College Poll (Example 11) Refer to the table in Exercise 5.47. Suppose a person is randomly selected... Problem 56SE: College Poll Assume a person is selected randomly from the group of people represented in the table... Problem 57SE: Hand Folding (Example 13) When people fold their hands together with interlocking fingers, most... Problem 58SE: Dice When two dice are rolled, is the event “the first die shows a 1 on top” independent of the... Problem 59SE: Happiness and Tradition Views (Example 13) In the 2012 General Social Survey (GSS), people were... Problem 60SE: Happiness Using the table in Exercise 5.59, determine whether being unhappy is independent of... Problem 61SE: Coin (Example 15) Imagine flipping three fair coins. a. What is the theoretical probability that all... Problem 62SE: Die Imagine rolling a fair six-sided die three times. a. What is the theoretical probability that... Problem 63SE: Die Sequences (Example 16) Roll a fair six-sided die five times, and record the number of spots on... Problem 64SE: Babies Assume that babies born are equally likely to be boys (B) or girls (G). Assume a woman has... Problem 65SE: Recidivism (Example 16) Florida's recidivism rate is 33. This means that about 33 of released... Problem 66SE: Seat Belt Use Scat belt use in Michigan in 2012 is estimated at 95, which means 95 of people use... Problem 67SE: Cervical Cancer (Example 18) According to a study published in Scientific American, about 8 women in... Problem 68SE: Cervical Cancer About 8 women in 100,000 have cervical cancer C, so PC=0.00008 and P(no C) =0.99992.... Problem 69SE: Simulating Coin Flips (Example 18) a. Simulate flipping a coin 20 times. Use the line of random... Problem 70SE: Simulation a. Explain how you could use digits from a random number table to simulate rolling a fair... Problem 71SE: Law of Large Numbers Refer to Histograms A, B, and C, which show the relative frequencies from... Problem 72SE: Law of Large Numbers The table shows the results of rolling a fair six-sided die. Using the table,... Problem 73SE: Coin Flips Imagine flipping a fair coin many times. Explain what should happen to the proportion of... Problem 74SE: Coin Flips, Again Refer to the following figure. a. After a large number of flips, the overall... Problem 75SE: Law of Large Numbers: Gambling Betty and Jane are gambling. They are cutting cards (picking a random... Problem 76SE: LLN: Grandchildren Consider two pairs of grandparents. The first pair has 4 grandchildren, and the... Problem 77SE: LLN: Coin If you flip a fair coin repeatedly and the first four results are tails, are you more... Problem 78SE: LLN: Die The graph shows the average when a six-sided die is rolled repeatedly. For example, if the... Problem 79SE: Jury Duty A jury is supposed to represent the population. We wish to perform a simulation to... Problem 80SE: Left-handed Some estimates say that 10#37; of the population is left-handed. We wish to design a... Problem 81SE: Simulation: Four-Sided Die a. Explain how you could use a random number table (or the random numbers... Problem 82SE: Simulation: Six-Sided Die a. Explain how you could use a random number table to simulate rolling a... Problem 83CRE: Capitalism According to a Pew poll conducted in 2012, 228 out of Republican viewed “Capitalism” as... Problem 84CRE: Socialism According to Pew poll conducted in 2012, 235 out of 489 Democrats viewed “Socialism” as... Problem 85CRE: Independent Variables Use your general knowledge to label the following pairs of variables as... Problem 86CRE: Independent Variables Use your general knowledge to label the following pairs of variables as... Problem 87CRE: Death Penalty According to a Gallup poll conducted in 2013, 67 of men support the death penalty in... Problem 88CRE: Gay and Lesbian Relationships According to a Gallup conducted poll in 2012, 64 of men and 66 of... Problem 89CRE: Internet Access A 2013 Pew poll said that 93 of young adults in the United States have Internet... Problem 90CRE: SAT ores The probability of a randomly selected person having a grade of 500 or above on the... Problem 91CRE: Birthdays Suppose all the days of the week are equally likely as birthdays. Alicia and David are two... Problem 92CRE: Pass Rate of Written Driver’s Exam In California, about 92#37; of teens who take the written... Problem 93CRE: Rich Happier 2012 A Gallup poll asked, "Do you think that rich people in America today are happier... Problem 94CRE: Rich Happier 1990 A Gallup poll asked, "Do you think that rich people in America today are happier... Problem 95CRE: Likely to Become Rich? A Gallup poll conducted in 2012 asked people who were not rich whether they... Problem 96CRE: Benefits from Rich A Gallup poll conducted in 2012 asked people, "Do you think the United States... Problem 97CRE: Virginia Juveniles In Virginia, in 2010, re-arrests occurred within one year for 46 of juveniles... Problem 98CRE: California Recidivism In California, the recidivism rate for prisoners is 67.5. That is 67.5 of... Problem 99CRE: California Recidivism and Gender Women return to prison at a lower rate than men do (58.0#37; for... Problem 100CRE: Blue Eyes About 17#37; of American men have blue eyes and 17#37; of American women have blue eyes.... Problem 101CRE: Construct a two-way table with 60 women and 80 men in which both groups show equal percentage of... Problem 102CRE: Construct a two-way table with 60 women and 80 men in which there is a higher percentage of... Problem 103CRE: Law of Large Numbers A famous study by Amos Tversky and Nobel laureate Daniel Kahneman asked people... Problem 104CRE: Law of Large Numbers A certain professional basket-ball player typically makes 80#37; of his basket... Problem 105CRE: Simulating Guessing on a Multiple-Choice Test Suppose a student takes a 10-question multiple-choice... Problem 106CRE: Simulating Guessing on a True/False Test Perform a simulation of a student guessing on a true/false... Problem 107CRE: Red Light/Green Light A busy street has three traffic lights in a row. These lights are not... Problem 108CRE: Soda A soda-bottling plant has a flaw in that 20#37; of the bottles it fills do not have enough soda... Problem 109CRE: GSS: Political Party The General Social Survey (GSS) is a survey done nearly every year at the... Problem 110CRE: GSS: Political Party Refer to the table given in Exercise 5.109. a. If one person is chosen randomly... Problem 111CRE: GSS: AND Refer to the table given in Exercise 5.109. Suppose we select a person at random from this... Problem 112CRE: GSS: AND Refer to the table given in Exercise 5.109. Suppose we select a person at random from this... Problem 113CRE: GSS: OR Select someone at random from the 1858 people in the table given in Exercise 5.109. What is... Problem 114CRE: GSS: OR Select someone at random from the 1858 people in the table given in Exercise 5.109. What is... Problem 115CRE: GSS: OR Assume one person is chosen randomly from the 1858 people in the table given in Exercise... Problem 116CRE: GSS: OR Assume that one person is chosen randomly from the table given in Exercise 5.109. What is... Problem 117CRE: GSS: Mutually Exclusive Referring to the table given in Exercise 5.109, name a pair of mutually... Problem 118CRE: GSS: Mutually Exclusive Referring to the table given in Exercise 5.109, name a pair of events that... Problem 119CRE: Political Party, Again A person is selected randomly from the sample summarized in the for Exercise... Problem 120CRE: Political Party Use the table in Exercise 5.109. A person is selected randomly from the sample... Problem 121CRE: Political Party, Again Refer to the table for Exercise 5.109. a. Find the probability that a... Problem 122CRE: Party, Again Refer to the table for Exercise 5.109. a. Find the probability that a randomly chosen... Problem 123CRE: Coin Flips Let H stand for heads and let T stand for tails in an experiment where a fair coin is... Problem 124CRE: Cubes A hat contains a number of cubes: 15 red, 10 white, 5 blue, and 20 black. One cube is chosen... Problem 125CRE: Mutually Exclusive Suppose a person is selected at random. Label each pair of events as mutually... Problem 126CRE: Mutually Exclusive Suppose a person is selected at random. Label each pair of events as mutually... Problem 127CRE: “OR” The Humane society of the United States reported that 39 of households owned one or more dogs... Problem 128CRE: “OR” Suppose you discovered that on your college campus, 4 of the female students were married and 4... Problem 129CRE: UFOs When two people meet, they are sometimes surprised that they have similar beliefs. A survey of... Problem 130CRE: Seat Belt Use In 2009, the National Highway Traffic Safety Administration said that 84 of drivers... Problem 131CRE: Independent Imagine rolling a red die and a blue die. From this trial, name a pair of independent... Problem 132CRE: Mutually Exclusive Imagine rolling a red die and a blue die. From this trial, name a pair of... Problem 133CRE: Opinion about Nurses A Gallup Poll from December of 2009 estimated that 83 of all people thought... Problem 134CRE: Climate Change A Gallup poll from December of 2009 asked whether U.S. residents who are aware of... format_list_bulleted