SOCR EduMaterials Activities Discrete Distributions

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(This is an activity to explore the Binomial, Geometric, and Hypergeometric Probability Distributions.)
(This is an activity to explore the Negaive Binomial Probability Distribution.)
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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:
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** a. <math> X <\math> follows negative binomial with <math> r=5, \ p=0.2 <\math>.   
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** a. <math> X </math> follows negative binomial with <math> r=5, \ p=0.2 </math>.   
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** b. <math> X <\math> follows negative binomial with <math> r=5, \ p=0.9 <\math>.   
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** b. <math> X </math> follows negative binomial with <math> r=5, \ p=0.9 </math>.   
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** c. <math> X <\math> follows negative binomial with <math> r=20, \ p=0.3 <\math>.   
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** c. <math> X </math> follows negative binomial with <math> r=20, \ p=0.3 </math>.   
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** d. <math> X <\math> follows negative binomial with <math> r=20, \ p=0.9 <\math>.
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** 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.
* '''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.

Revision as of 22:49, 27 October 2006

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

  • Exercise 1: Use SOCR to graph and print the following distributions and comment on the shape of each one of them:
    • a. X follows negative binomial with  r=5, \ p=0.2 .
    • b. X follows negative binomial with  r=5, \ p=0.9 .
    • c. X follows negative binomial with  r=20, \ p=0.3 .
    • d. X follows negative binomial with  r=20, \ p=0.9 .
  • Exercise 2: Let Failed to parse (unknown function\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 <math> X \sim b(20,0.3) <\math> <center>[[Image: SOCR_Activities_Christou_negbinomial.jpg|600px]]</center> <hr> * SOCR Home page: http://www.socr.ucla.edu {{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_ConfidenceIntervals}}
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