SOCR EduMaterials FunctorActivities Bernoulli Distributions
This is an activity to explore the Moment Generating Functions for the Bernoulli, Binomial, Geometric and Negative-Binomial Distributions.
- 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 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 \( X \sim Bernoulli(0.8) \)
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Do you notice any similarities between the graphs of these MGF's between any of these distributions?
