Rgidwani: /* This is an activity to explore the Negative Binomial Probability Distribution. */

2007-07-08T19:20:25Z

‎This is an activity to explore the Negative Binomial Probability Distribution.

IvoDinov at 00:36, 29 December 2006

2006-12-29T00:36:30Z

New page

== This is an activity to explore the Negative Binomial Probability Distribution.==

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

* '''Exercise 1:''' Use SOCR to graph and print the following distributions and comment on the shape of each one of them:
** a. <math> X </math> follows negative binomial with <math> r=5, \ p=0.2 </math>.
** b. <math> X </math> follows negative binomial with <math> r=5, \ p=0.9 </math>.
** c. <math> X </math> follows negative binomial with <math> r=20, \ p=0.3 </math>.
** d. <math> X </math> follows negative binomial with <math> r=20, \ p=0.9 </math>.

* '''Exercise 2:''' Let <math> X </math> follows the negative binomial distribution with <math> r=5, \ p=0.2 </math>. Explain in words what <math> P(X > 10) </math> means and use SOCR to compute this probability.

Below you can see the distribution of negative binomial with <math> r=15, \ p=0.8 </math>. In this graph you can also see the probability that the 5th success occurs on the 18th or 19th or 20th or 21st or 22nd trial.

<center>[[Image: SOCR_Activities_Christou_neg_binomial.jpg|600px]]</center>

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

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 * '''Exercise 1:''' Use SOCR to graph and print the following distributions and comment on the shape of each one of them:
-** a. <math> X </math> follows negative binomial with <math> r=5, \ p=0.2 </math>.
+** a. <math> X </math> follows the negative binomial distribution with <math> r=5, \ p=0.2 </math>.
-** b. <math> X </math> follows negative binomial with <math> r=5, \ p=0.9 </math>.
+** b. <math> X </math> follows the negative binomial distribution with <math> r=5, \ p=0.9 </math>.
-** c. <math> X </math> follows negative binomial with <math> r=20, \ p=0.3 </math>.
+** c. <math> X </math> follows the negative binomial distribution with <math> r=20, \ p=0.3 </math>.
-** d. <math> X </math> follows negative binomial with <math> r=20, \ p=0.9 </math>.
+** d. <math> X </math> follows the negative binomial distribution with <math> r=20, \ p=0.9 </math>.
 * '''Exercise 2:''' Let <math> X </math>  follows the negative binomial distribution with <math> r=5, \ p=0.2 </math>.  Explain in words what <math> P(X > 10) </math> means and use SOCR to compute this probability.

SOCR EduMaterials Activities NegativeBinomial Distributions - Revision history

Rgidwani: /* This is an activity to explore the Negative Binomial Probability Distribution. */

IvoDinov at 00:36, 29 December 2006