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 .  
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* '''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:
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**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 02:14, 9 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)
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