SOCR EduMaterials Activities DiceExperiment - Revision history

IvoDinov at 21:26, 24 January 2008

2008-01-24T21:26:47Z

PriscillaChui: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2007-05-19T16:53:43Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2007-04-18T00:52:41Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

IvoDinov at 03:03, 29 December 2006

2006-12-29T03:03:33Z

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T21:46:14Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T21:01:16Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T00:30:44Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T00:30:25Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T00:24:09Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

2006-10-20T00:16:56Z

‎This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled.

@@ Line 26: / Line 26: @@
 == Experiment ==
-Go to the SOCR Experiment [[http://www.socr.ucla.edu/htmls/SOCR_Experiments.html]] and select the Dice Experiment from the drop-down list of experiments on the top left. The image below shows the initial view of this experiment:
+Go to the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] and select the '''Dice Experiment''' from the drop-down list of experiments on the top left. The image below shows the initial view of this experiment:
 <center>[[Image:SOCR_Activities_DiceExperiment_Chui_051807_Fig1.jpg|400px]]</center>
+When pressing the '''play''' button, one trial will be executed and recorded in the distribution table below. The fast forward button symbolizes the nth number of trials to be executed each time. The stop button ceases any activity and is helpful when the experimenter chooses “continuous,” indicating an infinite number of events. The fourth button will reset the entire experiment, deleting all previous information and data collected.
 The “update” scroll indicates nth number of trials (1, 10, 100, or 1000) performed when selecting the fast forward button and the “stop” scroll indicates the maximum number of trials in the experiment.

@@ Line 1: / Line 1: @@
-== This is an activity to explore the distribution of various discrete random variable when <math> n </math> dice are rolled. ==
+== Dice Experiment ==
-Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html and use the scroll bar to find the Dice Experiment.  Once you find it, click on the About button and read about the experiment.  Below you can see the distribution of the sum (<math> Y </math>) of the two numbers shown when 2 dice are rolled.
+== Description ==
-<center>[[Image: SOCR_Activities_DiceExperiment_Christou_dice.jpg|600px]]</center>
+The experiment consists of rolling n dice, each governed by the same probability distribution. You can specify the die distribution by clicking on the die probability button; this button bring up the die probability dialog box. You can define your own distribution by typing probabilities into the text fields of the dialog box, or you can click on one of the buttons in the dialog box to specify one of the following special distributions:
-Answer the following questions:
+The following random variables are recorded on each update:
-'''a.''' There are five random variables (<math> Y, M, U, V, Z </math>) and two parameters <math> n, p </math>) involved in this experiment.  Describe what each one represents.
+Any one of these variables can be selected with a list box. The density and moments of the selected variable are shown in blue in the distribution graph and are recorded in the distribution table. When the simulation runs, the empirical density and moments are shown in red in the distribution graph and are recorded in the distribution table. The parameter n can be varied with a scroll bar.
-'''c.''' Choose <math> Y, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
+== Goal ==
-'''d.''' Reset.  Choose <math> M, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
+To provide a simulation demonstrating events of discrete variables and resemblance to the “bell shaped curve” of the Central Limit Theorem. Using this applet should allow the user to gain a better understanding of experimenting with distinct variables.
-'''d.'''  Reset.  Choose <math> U, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
+== Experiment ==
-'''e.''' Reset.  Choose <math> V, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
+Go to the SOCR Experiment [[http://www.socr.ucla.edu/htmls/SOCR_Experiments.html]] and select the Dice Experiment from the drop-down list of experiments on the top left. The image below shows the initial view of this experiment:
-'''h.'''  Reset.  Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125).  Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet.  Run the experiment 100 times, take a snapshot and comment.
+<center>[[Image:SOCR_Activities_DiceExperiment_Chui_051807_Fig1.jpg|400px]]</center>
-* SOCR Home page: http://www.socr.ucla.edu
+When pressing the play button, one trial will be executed and recorded in the distribution table below. The fast forward button symbolizes the nth number of trials to be executed each time. The stop button ceases any activity and is helpful when the experimenter chooses “continuous,” indicating an infinite number of events. The fourth button will reset the entire experiment, deleting all previous information and data collected.
 {{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_DiceExperiment}}

@@ Line 21: / Line 21: @@
 '''g.'''  Reset.  Choose <math> Z, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
-'''h.'''Reset.  Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125).  Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet.  Run the experiment 100 times, take a snapshot and comment.
+'''h.'''  Reset.  Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125).  Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet.  Run the experiment 100 times, take a snapshot and comment.
 <hr>

← Older revision		Revision as of 03:03, 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_ExperimentsActivities~~}}	+	{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_DiceExperiment}}

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 '''h.'''Reset.  Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125).  Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet.  Run the experiment 100 times, take a snapshot and comment.
 * SOCR Home page: http://www.socr.ucla.edu
 {{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_ExperimentsActivities}}

← Older revision		Revision as of 21:01, 20 October 2006
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	'''h.'''Reset. Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125). Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet. Run the experiment 100 times, take a snapshot and comment.		'''h.'''Reset. Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125). Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet. Run the experiment 100 times, take a snapshot and comment.
		+
		+	* SOCR Home page: http://www.socr.ucla.edu
		+
		+	{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_ExperimentsActivities}}

← Older revision		Revision as of 00:30, 20 October 2006
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	Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html and use the scroll bar to find the Dice Experiment. Once you find it, click on the About button and read about the experiment. Below you can see the distribution of the sum (<math> Y </math>) of the two numbers shown when 2 dice are rolled.		Open http://www.socr.ucla.edu/htmls/SOCR_Experiments.html and use the scroll bar to find the Dice Experiment. Once you find it, click on the About button and read about the experiment. Below you can see the distribution of the sum (<math> Y </math>) of the two numbers shown when 2 dice are rolled.
		+
		+	<center>[[Image: SOCR_Activities_DiceExperiment_Christou_dice.jpg\|300px]]</center>

	Answer the following questions:		Answer the following questions:

← Older revision		Revision as of 00:24, 20 October 2006
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	'''g.''' Reset. Choose <math> Z, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.		'''g.''' Reset. Choose <math> Z, \ n=3 </math>, fair dice, perform 100 runs, take a snapshot and comment.
−

	'''h.'''Reset. Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125). Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet. Run the experiment 100 times, take a snapshot and comment.		'''h.'''Reset. Change <math> p </math> to 1-6 Flat (1,6 each has probability 0.25, and 2,3,4,5, each has probability 0.125). Find the probability distribution of <math> Y </math> when <math> n=3 </math> dice are rolled and verify that it agrees with the one in the applet. Run the experiment 100 times, take a snapshot and comment.

SOCR EduMaterials Activities DiceExperiment - Revision history

IvoDinov at 21:26, 24 January 2008

PriscillaChui: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

IvoDinov at 03:03, 29 December 2006

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when n dice are rolled. */

PriscillaChui: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */

Nchristo: /* This is an activity to explore the distribution of various discrete random variable when $n$ dice are rolled. */