Difference between revisions of "SOCR EduMaterials Activities CoinDieExperiment"
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| − | == This an activity to explore the distribution of the die score (<math> Y </math>) when first a | + | == This an activity to explore the distribution of the die score (<math> Y </math>) when first a coin is tossed. == |
Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html 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. | Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html 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. | ||
Revision as of 19:39, 19 October 2006
This an activity to explore the distribution of the die score (\( Y \)) when first a coin is tossed.
Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html 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:
a. 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 one represents.
b. Choose fair coin (\( p = 0.5 \)), and fair dice (green and red). Perform 100 runs, take a snapshot and comment.
c. Reset. Choose \( p=0.8 \), 1-6 flat for the green die, 3-4 flat for the red die. Construct the probability distribution of \( Y \), compute the mean of \( Y \), and the standard deviation of \( Y \). Verify that they agree with the ones in the applet.
d. Reset. Choose \( p=0.2 \), green fair die, 2-5 flat for red die, perform 100 runs, take a snapshot and comment.
