Explanation Consider a Pew Research poll conducted in 2016 that asked a sample of Americans if they agreed with this statement “The Earth is warming mostly due to human activity.” The following two-way table shows the responses and the political affiliation of respondents in the poll. Conservative Republicans Moderate/Liberal Republicans Moderate/Conservative Democrats Liberal Democrats Total Yes 65 77 257 332 731 No 368 149 151 88 756 Total 433 226 408 420 1487 Use the definition of ‘OR,’ The word OR creates a new event consisting of all outcomes that are in either of two events connected by OR. Two events: a randomly selected person is liberal democrat and a randomly selected person is moderate/conservative democrat are mutually exclusive events, because if a person is liberal democrat, he/she cannot be moderate/conservative and if a person is moderate/conservative democrat, he/she cannot be a liberal. In other words, a randomly selected person cannot be both liberal and moderate/conservative. Therefore, given two events are mutually exclusive events. From the table, the total number of liberal democrats is 420 and total number of moderate/conservative democrats is 408

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ISBN: 9780135163146

Author: Gould

Publisher: PEARSON

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Chapter 5, Problem 113CRE

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Determine the probability that a randomly selected person from a group is a liberal or moderate/conservative/ democrat, in a Pew research poll. Are these events mutually exclusive?

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Chapter 5, Problem 112CRE

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Chapter 5 Solutions

INTRODUCTORY STATISTICS (LOOSELEAF)

Ch. 5 - Simulation (Example 1) If we flip a coin 10 times,...Ch. 5 - Simulation Suppose you are carrying out a...Ch. 5 - Empirical versus Theoretical A Monopoly player...Ch. 5 - Empirical versus Theoretical A person was trying...Ch. 5 - Empirical versus Theoretical A student flips a...Ch. 5 - Empirical versus Theoretical A bag of candy...Ch. 5 - Medical Group A medical practice group consists of...Ch. 5 - Teacher Effectiveness A recent study found that...Ch. 5 - Probability For each of the values, state whether...Ch. 5 - Probability For each of the values, state whether...

Ch. 5 - Cards (Example 2) There are four suits: clubs ,...Ch. 5 - Playing Cards Refer to exercise 5.11 for...Ch. 5 - Guessing on Tests a. On a true/false quiz in which...Ch. 5 - Guessing on Tests Consider a multiple-choice test...Ch. 5 - Four Coin Tosses (Example 3) The sample space...Ch. 5 - Three Children The sample space shows all possible...Ch. 5 - Birthdays What is the probability that a baby will...Ch. 5 - Playing Cards If one card is selected from a...Ch. 5 - Vacations (Example 4) The Gallup poll asked...Ch. 5 - Reading The Pew Research Center asked a sample of...Ch. 5 - Marijuana Legalization (Example 5) A Gallup poll...Ch. 5 - Marijuana Legalization Use the data in exercise...Ch. 5 - Gender Discrimination in Tech (Example 6) A Pew...Ch. 5 - Gender Discrimination in Tech Use the data in...Ch. 5 - Mutually Exclusive Suppose a person is selected at...Ch. 5 - Mutually Exclusive Suppose a student is selected...Ch. 5 - Vacations (Mutually Exclusive) (Example 7)...Ch. 5 - Vacations (Not Mutually Exclusive) Refer to the...Ch. 5 - Fair Die (Example 8) Roll a fair six-sided die. a....Ch. 5 - Fair Die Roll a fair six-sided die. a. What is the...Ch. 5 - Grades Assume that the only grades possible in a...Ch. 5 - Changing Multiple-Choice Answers One of the...Ch. 5 - Commuting A college conducted a student survey to...Ch. 5 - Political Parties Political science researchers...Ch. 5 - Super Powers (Example 9) A 2018 Marist poll asked...Ch. 5 - Online Presence A 2018 Pew poll asked U.S. adults...Ch. 5 - Thumbtacks When a certain type of thumbtack is...Ch. 5 - Thumbtacks When a certain type of thumbtack is...Ch. 5 - Multiple-Choice Exam An exam consists of 12...Ch. 5 - Driving Exam A driving exam consists of 30...Ch. 5 - Equal Rights for Women (Example 10) A recent Pew...Ch. 5 - Equal Rights for Women A person is selected...Ch. 5 - Frequent Stress (Example 11) A Gallup poll asked...Ch. 5 - Frequent Stress Use the data in exercise 5.43 for...Ch. 5 - Independent? Suppose a person is chosen at random....Ch. 5 - Independent? About 12#37; of men and 10#37; of...Ch. 5 - Independent? Suppose a person is chosen at random....Ch. 5 - Independent? Ring sizes typically range from about...Ch. 5 - Equal Rights Poll (Example 12) Refer to the table...Ch. 5 - Equal Rights Poll Assume a person is selected...Ch. 5 - Hand Folding (Example 13) When people fold their...Ch. 5 - Dice When two dice are rolled, is the event “the...Ch. 5 - TV News Source and Gender (Example 14) A 2018 Pew...Ch. 5 - TV News Source and Gender Using the table in...Ch. 5 - Coin (Example 15) Imagine flipping three fair...Ch. 5 - Die Imagine rolling a fair six-sided die three...Ch. 5 - Die Sequences (Example 16) Roll a fair six-sided...Ch. 5 - Babies Assume that babies born are equally likely...Ch. 5 - Vacations (Example 17) According to a recent...Ch. 5 - Landlines and Cell Phones According to the...Ch. 5 - Cervical Cancer (Example 18) According to a study...Ch. 5 - Cervical Cancer About 8 women in 100,000 have...Ch. 5 - Rolling Sixes (Example 19) What’s the probability...Ch. 5 - Rolling a Sum of 7 What’s the probability of...Ch. 5 - Multiple-Choice Test (Example 20) A...Ch. 5 - True/False Test A true/false test has 20...Ch. 5 - Simulating Coin Flips (Example 21) a. Use the line...Ch. 5 - Simulating Rolling a Die a. Explain how you could...Ch. 5 - Law of Large Numbers Refer to Histograms A, B, and...Ch. 5 - Law of Large Numbers The table shows the results...Ch. 5 - Coin Flips Imagine flipping a fair coin many...Ch. 5 - Coin Flips, Again Refer to the following figure....Ch. 5 - Law of Large Numbers: Gambling Betty and Jane are...Ch. 5 - LLN: Grandchildren Consider two pairs of...Ch. 5 - LLN: Coin If you flip a fair coin repeatedly and...Ch. 5 - LLN: Die The graph shows the average when a...Ch. 5 - Jury Duty A jury is supposed to represent the...Ch. 5 - Left-handed Some estimates say that 10#37; of the...Ch. 5 - Simulation: Four-Sided Die a. Explain how you...Ch. 5 - Simulation: Six-Sided Die a. Explain how you could...Ch. 5 - Prob. 81CRE Ch. 5 - Prob. 82CRE Ch. 5 - Independent Variables Use your general knowledge...Ch. 5 - Independent Variables Use your general knowledge...Ch. 5 - Prob. 85CRE Ch. 5 - Prob. 86CRE Ch. 5 - Prob. 87CRE Ch. 5 - Prob. 88CRE Ch. 5 - Birthdays Suppose all the days of the week are...Ch. 5 - Pass Rate of Written Driver’s Exam In California,...Ch. 5 - Prob. 91CRE Ch. 5 - Reading Habits In 2016 the Pew Research Center...Ch. 5 - Prob. 93CRE Ch. 5 - Prob. 94CRE Ch. 5 - Prob. 95CRE Ch. 5 - Cell Phone Security A 2017 Pew Research poll found...Ch. 5 - Coin Flips Let H stand for heads and let T stand...Ch. 5 - Prob. 98CRE Ch. 5 - Prob. 99CRE Ch. 5 - Online Dating The Pew Research Center asked a...Ch. 5 - CA Bar Exam In order to practice law, lawyers must...Ch. 5 - Driving Tests In addition to behind-the-wheel...Ch. 5 - California Recidivism and Gender Women return to...Ch. 5 - Blue Eyes About 17#37; of American men have blue...Ch. 5 - Prob. 105CRE Ch. 5 - Prob. 106CRE Ch. 5 - Law of Large Numbers A famous study by Amos...Ch. 5 - Law of Large Numbers A certain professional...Ch. 5 - Climate Change and Political Party In 2016 a Pew...Ch. 5 - Climate Change and Political Party Refer to the...Ch. 5 - Prob. 111CRE Ch. 5 - Prob. 112CRE Ch. 5 - Prob. 113CRE Ch. 5 - Prob. 114CRE Ch. 5 - Prob. 115CRE Ch. 5 - Prob. 116CRE Ch. 5 - Prob. 117CRE Ch. 5 - Prob. 118CRE Ch. 5 - Prob. 119CRE Ch. 5 - Prob. 120CRE Ch. 5 - Prob. 121CRE Ch. 5 - Multiple-Choice Test A multiple-choice test has 10...Ch. 5 - Simulating Guessing on a Multiple-Choice Test...Ch. 5 - Simulating Guessing on a True/False Test Perform a...Ch. 5 - Red Light/Green Light A busy street has three...Ch. 5 - Soda A soda-bottling plant has a flaw in that...

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Determine the probability that a randomly selected person from a group is a liberal or moderate/conservative/ democrat, in a Pew research poll. Are these events mutually exclusive?

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Determine the probability that a randomly selected person from a group is a liberal or moderate/conservative/ democrat, in a Pew research poll. Are these events mutually exclusive?

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Chapter 5 Solutions