SOCR EduMaterials Activities NegativeBinomial Distributions
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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: | * '''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. | * '''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. | ||
Current revision as of 19:14, 8 July 2007
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. X follows the negative binomial distribution with
.
- b. X follows the negative binomial distribution with
.
- c. X follows the negative binomial distribution with
.
- d. X follows the negative binomial distribution with
.
- a. X follows the negative binomial distribution with
- Exercise 2: Let X follows the negative binomial distribution with . Explain in words what P(X > 10) means and use SOCR to compute this probability.
Below you can see the distribution of negative binomial with 
. 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.
- SOCR Home page: http://www.socr.ucla.edu
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