SOCR EduMaterials FunctorActivities Bernoulli Distributions

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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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