SOCR EduMaterials Activities NegativeBinomial Distributions

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This is an activity to explore the Negative Binomial Probability Distribution.

  • Exercise 1: Use SOCR to graph and print the following distributions and comment on the shape of each one of them:
    • a. X follows the negative binomial distribution with  r=5, \ p=0.2 .
    • b. X follows the negative binomial distribution with  r=5, \ p=0.9 .
    • c. X follows the negative binomial distribution with  r=20, \ p=0.3 .
    • d. X follows the negative binomial distribution with  r=20, \ p=0.9 .
  • Exercise 2: Let X follows the negative binomial distribution with  r=5, \ p=0.2 . Explain in words what P(X > 10) means and use SOCR to compute this probability.

Below you can see the distribution of negative binomial with  r=15, \ p=0.8 . In this graph you can also see the probability that the 5th success occurs on the 18th or 19th or 20th or 21st or 22nd trial.







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