SOCR EduMaterials FunctorActivities Bernoulli Distributions

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Below you can see a snapshot of the MGF of the distribution of <math> X \sim Bernoulli(0.8) </math>
Below you can see a snapshot of the MGF of the distribution of <math> X \sim Bernoulli(0.8) </math>
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[[Image:BernoulliMGF.jpg]]
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<center>[[Image:BernoulliMGF.jpg|600px]]</center>
Do you notice any similarities between the graphs of these MGF's between any of these distributions?
Do you notice any similarities between the graphs of these MGF's between any of these distributions?

Revision as of 02:23, 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)

Below you can see a snapshot of the MGF of the distribution of X \sim Bernoulli(0.8)


Do you notice any similarities between the graphs of these MGF's between any of these distributions?

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