Difference between revisions of "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. | ||
Latest revision as of 14:20, 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 \( r=5, \ p=0.2 \).
- b. \( X \) follows the negative binomial distribution with \( r=5, \ p=0.9 \).
- c. \( X \) follows the negative binomial distribution with \( r=20, \ p=0.3 \).
- d. \( X \) follows the negative binomial distribution with \( r=20, \ p=0.9 \).
- Exercise 2: Let \( X \) follows the negative binomial distribution with \( r=5, \ p=0.2 \). 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 \( r=15, \ p=0.8 \). 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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