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 probability distribution of T in a table.
(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