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2013-02-26T01:53:22Z

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== [[SOCR_Courses_2012_2013_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===
There are two random variables (X=coin,Y=die), 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 a 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.

===Problem 4===
* Reset
* Choose p = 0.8, 1 and 6 flat for the green die (0.25 0.125 0.125 0.125 0.125 0.25), and 3 and 4 flat for the red die (0.125 0.125 0.25 0.25 0.125 0.125)
* Perform 100 runs and take a snapshot

Construct the probability distribution of Y.

===Problem 5===
Compute the theoretical mean of Y

===Problem 6===
Find the theoretical standard deviation of Y

===Problem 7===
Verify that the mean agrees with the one in the distribution column of the [http://socr.ucla.edu/htmls/exp/Coin_Die_Experiment.html applet].

===Problem 8===
* Reset
* Choose p = 0.2, green fair die, 2-5 flat for red die
* Perform 100 runs and take a snapshot

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.

===[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].

Click on the '''About''' button and read about the experiment.
* Perform 100 runs when p = 0 and p = 1. Take a snapshot of both results.

If you are playing this game only one time, should you switch doors? Why?

<hr>
* SOCR Home page: http://www.socr.ucla.edu

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SOCR Courses 2012 2013 Stat13 1 Lab2 - Revision history

IvoDinov: Created page with '== Stats 13.1 - Laboratory Activity 2: Coin Die Experiment== Go to [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] …'