INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 38SE
Thumbtacks When a certain type of thumbtack is tossed, the
UU UD DU DD
a. What is the probability of getting exactly one Down?
b. What is the probability of getting two Downs?
c. What is the probability of getting at least one Down (one or more Downs)?
d. What is the probability of getting at most one Down (one or fewer Downs)?
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A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
A qualifying exam for a graduate school program has a math section and a verbal section. Students receive a score of 1, 2, or 3 on each section. Define X as a student’s score on the math section and Y as a student’s score on the verbal section. Test scores vary according to the following bivariate probability distribution.
y
1
2
3
1
0.22
0.33
0.05
x
2
0.00
0.08
0.20
3
0.07
0.05
0.00
μXX = , and μYY =
σXX = , and σYY =
The covariance of X and Y is . The coefficient of correlation is . The variables X and Y independent.
The expected value of X + Y is , and the variance of X + Y is .
To be accepted to a particular graduate school program, a student must have a combined score of 4 on the qualifying exam.
What is the probability that a randomly selected exam taker qualifies for the program?
0.45
0.47
0.46
0.33
Chebysheff’s Theorem states that the…
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. 81CRECh. 5 - Prob. 82CRECh. 5 - Independent Variables Use your general knowledge...Ch. 5 - Independent Variables Use your general knowledge...Ch. 5 - Prob. 85CRECh. 5 - Prob. 86CRECh. 5 - Prob. 87CRECh. 5 - Prob. 88CRECh. 5 - Birthdays Suppose all the days of the week are...Ch. 5 - Pass Rate of Written Driver’s Exam In California,...Ch. 5 - Prob. 91CRECh. 5 - Reading Habits In 2016 the Pew Research Center...Ch. 5 - Prob. 93CRECh. 5 - Prob. 94CRECh. 5 - Prob. 95CRECh. 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. 98CRECh. 5 - Prob. 99CRECh. 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. 105CRECh. 5 - Prob. 106CRECh. 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. 111CRECh. 5 - Prob. 112CRECh. 5 - Prob. 113CRECh. 5 - Prob. 114CRECh. 5 - Prob. 115CRECh. 5 - Prob. 116CRECh. 5 - Prob. 117CRECh. 5 - Prob. 118CRECh. 5 - Prob. 119CRECh. 5 - Prob. 120CRECh. 5 - Prob. 121CRECh. 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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