Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model.

January 28, 2024January 28, 2024 Discipline: Other
  1. Design a probability model that models a real-world situation, and identify the possible outcomes and sample space of the model.
  2. Analyze the results of the experiment, and compare theoretical and empirical outcomes.
  3. Design a binomial probability experiment.

Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.

  • What are the possible outcomes and sample space of the experiment?
  • What were the results of the experiment? Show the results in table format.
  • What is the probability of each option?

Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.


Create a binomial probability experiment with the data from the public opinion poll experiment. Use the probability of success and failure from the experiment. Calculate the probability of the number of successes in 

100

 random tests. For example, if the probability of success is 

0.20

 and the number of trials is 

100,

 then the number of successes is 

20.

  • What are the numbers of trials, successes, and failures?
  • What are the results of the experiment?
  • What is the difference between the empirical and theoretical probabilities? Identify trends in the outcomes.


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