Difference between revisions of "SOCR Courses 2008 2009 Stat13 1 Lab2"
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| − | == [[SOCR_Courses_2008_2009_Stat13_1 | Stats 13.1]] - Laboratory Activity 2== | + | == [[SOCR_Courses_2008_2009_Stat13_1 | Stats 13.1]] - Laboratory Activity 2: Coin Die Experiment== |
| + | Go to [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] and use the scroll bar to find the [http://socr.ucla.edu/htmls/exp/Coin_Die_Experiment.html Coin Die Experiment]. Once you find it, click on the '''About''' button and read about the experiment. Answer the following questions with references to graphs where appropriate. | ||
| − | === | + | ===Problem 1=== |
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There are two random variables (X,Y ), one parameter (p) for the coin, and the probability distribution that governs each die (green or red) involved in this experiment. Describe what each random variable represents. | There are two random variables (X,Y ), one parameter (p) for the coin, and the probability distribution that governs each die (green or red) involved in this experiment. Describe what each random variable represents. | ||
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* Perform 100 runs and take a snapshot | * Perform 100 runs and take a snapshot | ||
| − | === | + | ===Problem 2=== |
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Construct the probability distribution of Y | Construct the probability distribution of Y | ||
| − | + | ===Problem 3=== | |
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Comment on the empirical and theoretical distributions how the sample size affects them. | Comment on the empirical and theoretical distributions how the sample size affects them. | ||
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| − | === | + | ===Problem 4=== |
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Construct the probability distribution of Y | Construct the probability distribution of Y | ||
| − | === | + | ===Problem 5=== |
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Compute the mean of Y | Compute the mean of Y | ||
| − | + | ===Problem 6=== | |
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Compute the standard deviation of Y | Compute the standard deviation of Y | ||
| − | + | ===Problem 7=== | |
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Verify that these numbers agree with the ones in the applet. | Verify that these numbers agree with the ones in the applet. | ||
* Reset | * Reset | ||
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* Perform 100 runs and take a snapshot | * Perform 100 runs and take a snapshot | ||
| − | + | ===Problem 8=== | |
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Construct the probability distribution of Y | Construct the probability distribution of Y | ||
| − | + | ===Problem 9=== | |
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Comment on the empirical and theoretical distributions. Also, comment on how the coin's parameter (p) affects the theoretical distributions. | Comment on the empirical and theoretical distributions. Also, comment on how the coin's parameter (p) affects the theoretical distributions. | ||
| − | ===Monte Hall Activity (Let's Make a Deal)=== | + | ===[http://socr.ucla.edu/htmls/exp/Monty_Hall_Experiment.html Monte Hall] Activity (Let's Make a Deal)=== |
| − | + | The Monte Hall Activity can be found here: [[SOCR EduMaterials Activities MontyHall]] and the [http://socr.ucla.edu/htmls/exp/Monty_Hall_Experiment.html applet is here]. | |
| − | The Monte Hall Activity can be found here: [[SOCR EduMaterials Activities MontyHall]] | ||
Latest revision as of 21:19, 20 October 2008
Contents
Stats 13.1 - Laboratory Activity 2: Coin Die Experiment
Go to SOCR Experiments and use the scroll bar to find the Coin Die Experiment. Once you find it, click on the About button and read about the experiment. Answer the following questions with references to graphs where appropriate.
Problem 1
There are two random variables (X,Y ), one parameter (p) for the coin, and the probability distribution that governs each die (green or red) involved in this experiment. Describe what each random variable represents.
- Choose fair coin (p = 0.5), and fair dice (green and red).
- Perform 10 runs and take a snapshot
- Perform 100 runs and take a snapshot
Problem 2
Construct the probability distribution of Y
Problem 3
Comment on the empirical and theoretical distributions how the sample size affects them.
- Reset
- Choose p = 0.8, 1-6 flat for the green die, 3-4 flat for the red die
- Perform 100 runs and take a snapshot
Problem 4
Construct the probability distribution of Y
Problem 5
Compute the mean of Y
Problem 6
Compute the standard deviation of Y
Problem 7
Verify that these numbers agree with the ones in the applet.
- Reset
- Choose p = 0.2, green fair die, 2-5 flat for red die
- Perform 100 runs and take a snapshot
Problem 8
Construct the probability distribution of Y
Problem 9
Comment on the empirical and theoretical distributions. Also, comment on how the coin's parameter (p) affects the theoretical distributions.
Monte Hall Activity (Let's Make a Deal)
The Monte Hall Activity can be found here: SOCR EduMaterials Activities MontyHall and the applet is here.
- SOCR Home page: http://www.socr.ucla.edu
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