Concept explainers
Design a simulation using a geometric probability model .Report the results using appropriate numberical and graphical summaries.
Explanation of Solution
Given:
This quarter , T earned A in his classes 45% of the time.
Calculation:
Step 1 :
Possible Outcomes | Theoritical Probability |
T score A | 45% |
T does not score A | (100-45)% = 55% |
Step 2:
The simulation will consist of 50 trials.
Step 3:
We can use a spinner divided into two sectors, one containing 45% of spinner’s area and the other containing 55% of spinner’s area .Find the measurement of central
T score A =
T does not score A =
: Yellow sector
Step 4:
A trial means one spin on the spinner , represents score of T ( gets A or does not get A) in classes.
A successful trial will be T scores A and a failed trial means not score A.
The simulation will consist of 50 trials.
Now, we record the results :
Possible Outcomes | Theoritical Probability | Frequency | Experimental Probability |
T score A | 45% | 20 | 40% |
T does not score A | 55% | 30 | 60% |
Total | 50 |
Chapter 13 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Introductory Statistics (10th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Probability and Statistics for Engineers and Scientists
Calculus Volume 1
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning