Concept explainers
Design a simulation using a random number generator .Report the results using appropriate numberical and graphical summaries.
Explanation of Solution
Given:
According to a football team’s offensive success rate, the team punts 40% of the time , kicks a field goal 30% of the time , loses possession 5% of the time , and scores a touchdown 25% of the time.
Calculation:
Step 1 :
Possible Outcomes | Theoritical Probability |
Punt | 40% |
Field goal | 30% |
Loss possession | 5% |
Touchdown | 25% |
Step 2:
Assume that the offensive success will fall into these four categories.
Step 3:
Use a random number generator on your calculator.Use the ten integers 0-9 to accurately represent the probability data.The actual numbers used to represent the outcome does not matter.
Possible Outcomes | Represented By |
Punt | 0,1,2,3 |
Field goal | 4,5,6 |
Loss possession | 7 |
Touchdown | 8,9 |
Step 4:
A trial means recording the offensive success rates of the football team in four categories. The simulation will consist of 20 trials.
Now, we record the results :
Possible Outcomes | Theoritical Probability | Frequency |
Punt | 40% | 8 |
Field goal | 30% | 6 |
Loss possession | 5% | 1 |
Touchdown | 25% | 5 |
Total | 20 |
Chapter 13 Solutions
Geometry, Student Edition
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