Difference between revisions of "SOCR EduMaterials FunctorActivities Bernoulli Distributions"
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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 . | ||
| − | * '''Exercise 1:''' Use SOCR to graph the | + | * '''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.<math> X \sim Bernoulli(0.5) </math> | **a.<math> X \sim Bernoulli(0.5) </math> | ||
**b.<math> x \sim Binomial(1,0.5) </math> | **b.<math> x \sim Binomial(1,0.5) </math> | ||
**c.<math> x \sim Geometric(0.5) </math> | **c.<math> x \sim Geometric(0.5) </math> | ||
**d.<math> x \sim NegativeBinomial(1, 0.5) </math> | **d.<math> x \sim NegativeBinomial(1, 0.5) </math> | ||
| + | |||
| + | Below you can see a snapshot of the MGF of the distribution of <math> X \sim Bernoulli(0.8) </math> | ||
| + | [[Image:Example.jpg]] | ||
| + | |||
| + | |||
| + | Do you notice any similarities between the graphs of these MGF's between any of these distributions? | ||
Revision as of 21:25, 8 January 2008
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 \( X \sim Bernoulli(0.8) \) File:Example.jpg
Do you notice any similarities between the graphs of these MGF's between any of these distributions?
