SOCR EduMaterials Activities Normal Distributions - Revision history

IvoDinov: light formatting and linking to other Normal Distribution activities

2009-10-26T04:25:00Z

light formatting and linking to other Normal Distribution activities

IvoDinov at 04:23, 26 October 2009

2009-10-26T04:23:54Z

IvoDinov at 20:20, 31 January 2008

2008-01-31T20:20:54Z

Valpacheco at 19:47, 6 August 2007

2007-08-06T19:47:11Z

Rgidwani: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-07-10T21:53:54Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

Nchristo: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-02-14T14:40:24Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

Nchristo: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-02-14T14:39:31Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

Nchristo: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-02-14T14:37:24Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

Nchristo: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-02-14T14:36:09Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

Nchristo: /* This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. */

2007-02-14T14:16:09Z

‎This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial.

@@ Line 35: / Line 35: @@
 ===See also===
-* [[SOCR_EduMaterials_DistributionsActivities | More SOCR Distribution Activities]].
+* [[SOCR_EduMaterials_Activities_Normal_Probability_examples | More SOCR Distribution Activities]].
 <hr>

@@ Line 1: / Line 1: @@
-== This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. ==
+==[[SOCR_EduMaterials_DistributionsActivities | SOCR Distribution Activities]] - Normal Distribution Activity==
 * You should first review the complete details about [[AP_Statistics_Curriculum_2007_Normal_Std | the Standard Normal]] and the [[AP_Statistics_Curriculum_2007#Nonstandard_Normal_Distribution:_Finding_Probabilities | General Normal]] distributions.
@@ Line 27: / Line 29: @@
 **'''4.'''  Use SOCR to compute the probability of part (3).
 **'''5.'''  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation?
 Below you can see the distribution of a normal random variable <math> X </math> with <math> \mu=50, \sigma=5 </math>.  In this graph you can also see the probability that <math> X </math> is between 53 and 60.
 <center>[[Image: SOCR_Activities_Christou_normal.jpg|600px]]</center>
+===See also===
+* [[SOCR_EduMaterials_DistributionsActivities | More SOCR Distribution Activities]].
 <hr>

← Older revision		Revision as of 20:20, 31 January 2008
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	== This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. ==		== This is an activity to explore the Normal Probability Distribution and the normal approximation to binomial. ==
		+
		+	* You should first review the complete details about [[AP_Statistics_Curriculum_2007_Normal_Std \| the Standard Normal]] and the [[AP_Statistics_Curriculum_2007#Nonstandard_Normal_Distribution:_Finding_Probabilities \| General Normal]] distributions.

	* '''Description''': You can access the applets for the above distributions at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html .		* '''Description''': You can access the applets for the above distributions at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html .

@@ Line 24: / Line 24: @@
 **'''3.'''  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
 **'''4.'''  Use SOCR to compute the probability of part (3).
-**'''5.'''  Use the normal distribution applet in SOCR to approximate the probability of part (2) (do not forget the continuity correction).  What is the error of the approximation?
+**'''5.'''  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation?

@@ Line 15: / Line 15: @@
 **'''9.''' Make sure you know how to answer the above questions using the <math>z</math> score <math>z=\frac{x-\mu}{\sigma}</math> and your <math>z</math> table from the handout!  You do not need to submit anything here.
 *'''Exercise 3:'''  The lifetime of tires of brand <math>A</math> follows the normal distribution with mean 40000 miles and standard deviation 4000 miles.
 **'''1.''' Use <math>SOCR</math> to find the probability that a tire will last between 40000 and 46000 miles.
 **'''2.''' Given that a tire will last more than 46000 miles what is the probability that it will last more than 50000 miles?  Submit a printout and explain how you get the answer.

@@ Line 24: / Line 24: @@
 **'''2.'''  What is the distribution of the number of students admitted?  Use <math>SOCR</math> to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
 **'''3.'''  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
-**'''4.'''  Use [[SOCR]] to compute the probability of part (2).
+**'''4.'''  Use [[SOCR]] to compute the probability of part (3).
-**'''5.'''  Use the normal distribution to approximate the probability of part (2) (do not forget the continuity correction).  What is the error of the approximation?
+**'''5.'''  Use the normal distribution applet in SOCR to approximate the probability of part (2) (do not forget the continuity correction).  What is the error of the approximation?

@@ Line 14: / Line 14: @@
 **'''8.''' Use the mouse or the left cut off or right cut off points to find the <math>8_{th}, 20_{th}, 45_{th}, 55_{th}, 70_{th}, 95_{th} </math> percentiles.  After you find these percentiles you can place by hand all of them in one printout (or you can submit a printout for each one of them if you want).
 **'''9.''' Make sure you know how to answer the above questions using the <math>z</math> score <math>z=\frac{x-\mu}{\sigma}</math> and your <math>z</math> table from the handout!  You do not need to submit anything here.
-*'''Exercise 3:''  The lifetime of tires of brand <math>A</math> follows the normal distribution with mean 40000 miles and standard deviation 4000 miles.
+*'''Exercise 3:'''  The lifetime of tires of brand <math>A</math> follows the normal distribution with mean 40000 miles and standard deviation 4000 miles.
 **'''1.''' Use <math>SOCR</math> to find the probability that a tire will last between 40000 and 46000 miles.
@@ Line 20: / Line 20: @@
 **'''3.''' Given that a tire will last more than 46000 miles what is the probability that it will last less than 50000 miles?  Submit a printout and explain how you get the answer.
-*'''Exercise 4:''
+*'''Exercise 4:'''
-**'''4.'''  The probability that a student is admitted in the Math Department Major at a college is <math>45 \%</math>.  Suppose that this year 100 students will apply for admission into the Math major.
+**'''1.'''  The probability that a student is admitted in the Math Department Major at a college is <math>45 \%</math>.  Suppose that this year 100 students will apply for admission into the Math major.
-**'''5.'''  What is the distribution of the number of students admitted?  Use <math>SOCR</math> to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
+**'''2.'''  What is the distribution of the number of students admitted?  Use <math>SOCR</math> to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
-**'''6.'''  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
+**'''3.'''  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
-**'''7.'''  Use [[SOCR]] to compute the probability of part (2).
+**'''4.'''  Use [[SOCR]] to compute the probability of part (2).
-**'''8.'''  Use the normal distribution to approximate the probability of part (2) (do not forget the continuity correction).  What is the error of the approximation?
+**'''5.'''  Use the normal distribution to approximate the probability of part (2) (do not forget the continuity correction).  What is the error of the approximation?