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.\( x \sim NegativeBinomial(1, 0.5) \)