Concept explainers
(a)
To explain why T is a random variable.
(a)
Explanation of Solution
A random variable takes numerical values that describe the outcomes of some random phenomenon.
(b)
To display the
(b)
Explanation of Solution
We are interested in the sum of two dice.
In the figure above we note that there are
Combine the probabilities in a table:
T | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Probability | 0.0278 | 0.0556 | 0.0833 | 0.1111 | 0.1389 | 0.1667 | 0.1389 | 0.1111 | 0.0833 | 0.0556 | 0.0278 |
(c)
To construct a histogram that shows the probability of T .
(c)
Explanation of Solution
The width of the bars has to be the same and the height has to be equal to the probability:
Chapter 8 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
Elementary Statistics
Introductory Statistics
Statistics for Psychology
Statistics: The Art and Science of Learning from Data (4th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman