SOCR EduMaterials Activities DieCoin - Revision history

Jenny: Reverted edit of XseGkx, changed back to last version by IvoDinov

2007-09-17T15:46:10Z

Reverted edit of XseGkx, changed back to last version by IvoDinov

XseGkx at 21:05, 14 September 2007

2007-09-14T21:05:45Z

IvoDinov at 03:01, 29 December 2006

2006-12-29T03:01:40Z

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T23:12:08Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T23:08:06Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T23:07:37Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T23:06:51Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T23:04:34Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T22:56:30Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

Nchristo: /* This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. */

2006-09-23T22:55:51Z

‎This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X.

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[[SOCR_EduMaterials_Activities \| SOCR Educational Materials - Activities ]] - SOCR Die Coin Activity ==

	== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==		== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==

← Older revision		Revision as of 21:05, 14 September 2007
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	== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==		== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==

← Older revision		Revision as of 03:01, 29 December 2006
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

−	{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=~~SOCR_EduMaterials_Activities_ConfidenceIntervals~~}}	+	{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_DieCoin}}

← Older revision		Revision as of 23:12, 23 September 2006
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	== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==		== This is an activity to explore the bivariate distribution of X and Y where X is the number shown when a die is rolled and Y is the number of heads when a coin is tossed number of times equal to X. ==
		+

	* '''Description''': A die is rolled and the number observed X is recorded. Then a coin is tossed number of times equal to the value of X. For example if X=2 then the coin is tossed twice, etc. Let Y be the number of heads observed. Note: Assume that the die and the coin are fair.		* '''Description''': A die is rolled and the number observed X is recorded. Then a coin is tossed number of times equal to the value of X. For example if X=2 then the coin is tossed twice, etc. Let Y be the number of heads observed. Note: Assume that the die and the coin are fair.

@@ Line 31: / Line 31: @@
 b. n= 10000 times
-<center>[[Image:SOCR_Activities_DieCoinExperiment_Christou_092206_Fig1.jpg |300px]]</center>
+<center>[[Image:SOCR_Activities_DieCoinExperiment_Christou_092206_Fig1.jpg |600px]]</center>
 * '''Exercise 8''': Compare the theoretical mean and standard deviation of Y (exercise 4 and 5) with the empirical mean and standard deviation found in exercise 7.

← Older revision		Revision as of 23:04, 23 September 2006
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	b. n= 10000 times		b. n= 10000 times

		+	<center>[[Image:SOCR_Activities_DieCoinExperiments_Christou_Fig1.jp\|300px]]</center>

	* '''Exercise 8''': Compare the theoretical mean and standard deviation of Y (exercise 4 and 5) with the empirical mean and standard deviation found in exercise 7.		* '''Exercise 8''': Compare the theoretical mean and standard deviation of Y (exercise 4 and 5) with the empirical mean and standard deviation found in exercise 7.

@@ Line 4: / Line 4: @@
 * '''Description''': A die is rolled and the number observed X is recorded.  Then a coin is tossed number of times equal to the value of X.  For example if X=2 then the coin is tossed twice, etc.  Let Y be the number of heads observed.  Note:  Assume that the die and the coin are fair.
 * '''Exercise 1''': Construct the joint probability distribution of X and Y.
 * '''Exercise 2''': Find the conditional expected value of Y given X=5.
 * '''Exercise 3''': Find the conditional variance of Y given X=5.
 * '''Exercise 4''':  Find the expected value of Y.
 * '''Exercise 5''': Find the standard deviation of Y.
 * '''Exercise 6''': Graph the probability distribution of Y.
 * '''Exercise 7''': Use SOCR [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html Experiments] and choose "Die Coin Experiment" to graph and print the empirical distribution of Y when the experiment is performed:
@@ Line 22: / Line 30: @@
 b. n= 10000 times
 * '''Exercise 8''': Compare the theoretical mean and standard deviation of Y (exercise 4 and 5) with the empirical mean and standard deviation found in exercise 7.

← Older revision		Revision as of 22:55, 23 September 2006
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	* '''Exercise 7''': Use SOCR [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html Experiments] and choose "Die Coin Experiment" to graph and print the empirical distribution of Y when the experiment is performed:		* '''Exercise 7''': Use SOCR [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html Experiments] and choose "Die Coin Experiment" to graph and print the empirical distribution of Y when the experiment is performed:
		+
	a. n = 1000 times.		a. n = 1000 times.