Difference between revisions of "SOCR EduMaterials FunctorActivities Bernoulli Distributions"

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(New page: == This is an activity to explore the Moment Generating Functions for the Bernoulli, Binomial, Geometric and Negative-Binomial Distributions.== * '''Description''': You can access the ap...)
 
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* '''Description''':  You can access the applets for the above distributions at  http://www.socr.ucla.edu/htmls/SOCR_DistributionFunctors.html .  
 
* '''Description''':  You can access the applets for the above distributions at  http://www.socr.ucla.edu/htmls/SOCR_DistributionFunctors.html .  
  
* '''Exercise 1:''' Use SOCR to graph and print the following distributions and answer the questions below.  Also, comment on the shape of each one of these distributions:
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* '''Exercise 1:''' Use SOCR to graph the mgf's and print the following distributions and answer the questions below.  Also, comment on the shape of each one of these distributions:
 +
**a.<math> X \sim Bernoulli(0.5) </math>
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**b.<math> x \sim Binomial(1,0.5) </math>
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**c.<math> x \sim Geometric(0.5) </math>
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**d.<math> x \sim NegativeBinomial(1, 0.5) </math>

Revision as of 21:20, 8 January 2008

This is an activity to explore the Moment Generating Functions for the Bernoulli, Binomial, Geometric and Negative-Binomial Distributions.

  • Exercise 1: Use SOCR to graph the mgf's and print the following distributions and answer the questions below. Also, comment on the shape of each one of these distributions:
    • a.\( X \sim Bernoulli(0.5) \)
    • b.\( x \sim Binomial(1,0.5) \)
    • c.\( x \sim Geometric(0.5) \)
    • d.\( x \sim NegativeBinomial(1, 0.5) \)