Stats
5th Edition
ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Chapter 2, Problem 78E
To determine
Create an appropriate graph and describe the distribution.
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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 2 Solutions
Stats
Ch. 2.3 - You may be surprised to find that you already have...Ch. 2.3 - Prob. 2JCCh. 2.3 - Prob. 3JCCh. 2.3 - Prob. 4JCCh. 2.3 - Prob. 5JCCh. 2.5 - Prob. 6JCCh. 2.5 - Prob. 7JCCh. 2.5 - Prob. 8JCCh. 2 - Prob. 1ECh. 2 - 2. Nonoccupant fatalities The frequencies of...
Ch. 2 - 3. Movie genres The pie chart summarizes the...Ch. 2 - 4. Movie ratings The Motion Picture Association of...Ch. 2 - Prob. 5ECh. 2 - 6. Marriage in decline Changing attitudes about...Ch. 2 - 7. Traffic fatalities 2013 Here are two histograms...Ch. 2 - 8. Traffic fatalities 2013 again Here are the same...Ch. 2 - Prob. 9ECh. 2 - Prob. 10ECh. 2 - 11. E-mails A university teacher saved every...Ch. 2 - 12. Adoptions The U.S. Census Bureau keeps track...Ch. 2 - Prob. 13ECh. 2 - Prob. 14ECh. 2 - Prob. 15ECh. 2 - Prob. 16ECh. 2 - Prob. 17ECh. 2 - Prob. 18ECh. 2 - Prob. 19ECh. 2 - Prob. 20ECh. 2 - Prob. 21ECh. 2 - 22. Adoptions III For the number of adoptions in...Ch. 2 - Prob. 23ECh. 2 - Prob. 24ECh. 2 - 33. Thinking about shape Would you expect...Ch. 2 - 34. More shapes Would you expect distributions of...Ch. 2 - Prob. 35ECh. 2 - Prob. 36ECh. 2 - Prob. 37ECh. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Prob. 40ECh. 2 - Prob. 41ECh. 2 - Prob. 42ECh. 2 - Prob. 43ECh. 2 - Prob. 44ECh. 2 - 45. Cereals The histogram shows the carbohydrate...Ch. 2 - Prob. 46ECh. 2 - 47. Heart attack stays The histogram shows the...Ch. 2 - 48. *Bird species 2013 The Cornell Lab of...Ch. 2 - 49. Super Bowl points 2016 How many points do...Ch. 2 - 50. Super Bowl edge 2016 In the Super Bowl, by how...Ch. 2 - Prob. 51ECh. 2 - Prob. 52ECh. 2 - Prob. 53ECh. 2 - 54. Sick days During contract negotiations, a...Ch. 2 - 55. Floods 2015 Here are the annual numbers of...Ch. 2 - 56. Tornadoes 2015 Here are the annual numbers of...Ch. 2 - Prob. 57ECh. 2 - Prob. 58ECh. 2 - Prob. 59ECh. 2 - 60. Neck size The histogram shows the neck sizes...Ch. 2 - Prob. 61ECh. 2 - 62. Neck sizes again Look again at the histogram...Ch. 2 - 63. Movie lengths 2010 The histogram shows the...Ch. 2 - 64. Golf drives 2015 The display shows the average...Ch. 2 - Prob. 65ECh. 2 - Prob. 66ECh. 2 - Prob. 67ECh. 2 - Prob. 68ECh. 2 - Prob. 69ECh. 2 - Prob. 70ECh. 2 - Prob. 71ECh. 2 - Prob. 72ECh. 2 - Prob. 73ECh. 2 - 74. Major hurricanes 2013 The following data give...Ch. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Prob. 78ECh. 2 - Prob. 79ECh. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - Prob. 82ECh. 2 - Prob. 83ECh. 2 - 84. Boomtowns 2015 In 2015, the website...Ch. 2 - Prob. 85ECh. 2 - Prob. 86E
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- (d) Draw the Venn diagram which represents the set (A U B) U (B NC).arrow_forwardThe ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n sample mean population std. dev. West 33 26.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for this problem? what is the p-value? what is the decision (reject or do not reject the null hypothesis?arrow_forwardA 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 24% of the time, and roommate B chooses rock 85% of the time; roommate A selects paper 12% of the time, and roommate B selects paper 14% of the time; roommate A chooses scissors 64% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each…arrow_forward
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