SOCR EduMaterials Activities Matching Juana oct10-06 version1 - Revision history

IvoDinov: Redirecting to SOCR EduMaterials Activities MatchingExperiment

2008-01-29T19:35:36Z

Redirecting to SOCR EduMaterials Activities MatchingExperiment

IvoDinov at 19:13, 29 January 2008

2008-01-29T19:13:27Z

Juanas at 15:40, 27 October 2006

2006-10-27T15:40:13Z

Juanas at 15:38, 27 October 2006

2006-10-27T15:38:41Z

Juanas at 15:20, 27 October 2006

2006-10-27T15:20:30Z

Juanas at 15:15, 27 October 2006

2006-10-27T15:15:43Z

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Quite often, a method used to solve a problem in probability can be used to solve many other problems which at first glance appear different, but are conceptually the same. This exercise illustrates this.

Go to the matching experiment in SOCR http://socr.stat.ucla.edu/htmls/SOCR_Experiments.html
Run it several times and play with it until you feel comfortable with it. Then use it and interpret it appropriately to answer the following problems:
(1) Four students are working on a project for their mathematics class that requires a lot of graphing and calculations. As they work, they pass around the calculators so that everyone can record their results. When the bell rings, each student grabs the nearest calculator and hurriedly leaves the room. What is the probability that none of the students too his or her calculator?
Attach a snapshot of the applet that shows how you found your answer with SOCR. (the snapshot should show the theoretical true probability and the probability you got by repeating this experiment 1000 times. Highlight what in the snapshot is your answer.

← Older revision		Revision as of 19:35, 29 January 2008
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−	~~== Matching Experiment ==~~	+	#REDIRECT [[SOCR_EduMaterials_Activities_MatchingExperiment]]
−
−	~~== Description ==~~
−	Quite often, a method used to solve a problem in probability can be used to solve many other problems which at first glance appear different, but are conceptually the same. This exercise illustrates this situation using the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Matching Experiment].
−
−	~~== Goal ==~~
−
−
−	~~== Experiment ==~~
−
−	Go to the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] and select the '''Matching 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_MatchingExperiment_Dinov_012908_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 runs larger number of trials. 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.
−
−
−	~~== Applications ==~~
−	~~===Example 1===~~
−	Six students are working on a project for their Statistics class that requires a lot of calculations. Each of them is in charge of calculating one part of the project, but they all will share the results. As they work, they pass around their papers so that everyone can see the results of the others. The smoke alarm sounds suddenly and each student grabs the nearest paper and hurriedly leaves the room. What is the theoretical probability that none of the students took his or her paper? What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
−
−	* Attach a snapshot of the applet that shows how you found your answer with SOCR. (the snapshot should show the theoretical true probability and the probability you got by repeating this experiment 1000 times. Highlight what in the snapshot is your answer.
−
−
−	~~=== Example 2===~~
−	20 ladies arrive to a party and leave their coats with the concierge, who is not a very organized person. At the end of the party, the ladies don’t really remember what their coats look like (too much dancing and chocolate cake) and have lost the numbers the concierge give them. So the concierge has to give them the coats back at random. What is the theoretical probability that at least two ladies get their own coat? What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
−
−	*Attach a snapshot of the applet that shows how you found your answer with SOCR. (the snapshot should show the theoretical true probability and the probability you got by repeating (appropriately) this experiment 1000 times. Highlight what in the snapshot is your answer.
−
−	~~{{translate\|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_Matching_Juana_oct10-06_version1}}~~

@@ Line 1: / Line 1: @@
-Quite often, a method used to solve a problem  in probability can be used  to solve many other problems which at first glance appear different, but are conceptually the same.  This exercise illustrates this.
+== Matching Experiment ==
-Go to the matching experiment in SOCR http://socr.stat.ucla.edu/htmls/SOCR_Experiments.html
+== Description ==
-Run it several times and play with it until you feel comfortable with it. Then use it  and interpret it appropriately to  answer  the following problems:
+Quite often, a method used to solve a problem  in probability can be used  to solve many other problems which at first glance appear different, but are conceptually the same.  This exercise illustrates this situation using the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Matching Experiment].
-(2)  20 ladies arrive to a party and leave their coats with the concierge, who is not a very organized person. At the end of the party, the ladies don’t really remember what their coats look like (too much dancing and chocolate cake)  and have lost the numbers the concierge give them. So the concierge has to give them the coats back at random. What is the theoretical probability that at least two ladies get their  own coat?  What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
+Go to the [http://www.socr.ucla.edu/htmls/SOCR_Experiments.html SOCR Experiments] and select the '''Matching Experiment''' from the drop-down list of experiments on the top left. The image below shows the initial view of this experiment:
 Attach a snapshot of the applet that shows how you found your answer with SOCR.  (the snapshot should show the theoretical true probability and the probability you got by repeating (appropriately)  this experiment 1000 times. Highlight what in the snapshot is your answer.

@@ Line 1: / Line 1: @@
 Quite often, a method used to solve a problem  in probability can be used  to solve many other problems which at first glance appear different, but are conceptually the same.  This exercise illustrates this.
@@ Line 6: / Line 5: @@
-(1)   Six students  are working on a project for their Statistics class that requires a lot of calculations. Each of them is in charge of calculating one part of the project, but they all will share the results. As they work, they pass around the calculators so that everyone can see the results of the others. The smoke alarm sounds suddenly and each student grabs the nearest calculator and hurriedly leaves the room. What is the theoretical probability that none of the students too his or her calculator?  What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
+(1)   Six students  are working on a project for their Statistics class that requires a lot of calculations. Each of them is in charge of calculating one part of the project, but they all will share the results. As they work, they pass around their papers so that everyone can see the results of the others. The smoke alarm sounds suddenly and each student grabs the nearest paper and hurriedly leaves the room. What is the theoretical probability that none of the students took his or her paper?  What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
 Attach a snapshot of the applet that shows how you found your answer with SOCR.  (the snapshot should show the theoretical true probability and the probability you got by repeating this experiment 1000 times.  Highlight what in the snapshot is your answer.

@@ Line 1: / Line 1: @@
 Quite often, a method used to solve a problem  in probability can be used  to solve many other problems which at first glance appear different, but are conceptually the same.  This exercise illustrates this.
@@ Line 7: / Line 6: @@
-(1)   Four students are working on a project for their mathematics class that requires a lot of graphing and calculations. As they work, they pass around the calculators so that everyone can record their results. When the bell rings, each student grabs the nearest calculator and hurriedly leaves the room. What is the probability that none of the students too his or her calculator?
+(1)   Six students  are working on a project for their Statistics class that requires a lot of calculations. Each of them is in charge of calculating one part of the project, but they all will share the results. As they work, they pass around the calculators so that everyone can see the results of the others. The smoke alarm sounds suddenly and each student grabs the nearest calculator and hurriedly leaves the room. What is the theoretical probability that none of the students too his or her calculator?  What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
 Attach a snapshot of the applet that shows how you found your answer with SOCR.  (the snapshot should show the theoretical true probability and the probability you got by repeating this experiment 1000 times.  Highlight what in the snapshot is your answer.
-(2)  20 ladies arrive to a party and leave their coats with the concierge, who is not a very organized person. At the end of the party, the ladies don’t really remember what their coats look like (too much dancing and chocolate cake)  and have lost the numbers the concierge give them. So the concierge has to give them the coats back at random. What is the probability that at least two ladies get their  own coat?
+(2)  20 ladies arrive to a party and leave their coats with the concierge, who is not a very organized person. At the end of the party, the ladies don’t really remember what their coats look like (too much dancing and chocolate cake)  and have lost the numbers the concierge give them. So the concierge has to give them the coats back at random. What is the theoretical probability that at least two ladies get their  own coat?  What is the probability that you obtain from the data generated after repeating the correct experiment 1000 times?
 Attach a snapshot of the applet that shows how you found your answer with SOCR.  (the snapshot should show the theoretical true probability and the probability you got by repeating (appropriately)  this experiment 1000 times. Highlight what in the snapshot is your answer.