Chapter 6 Review Homework Question 9

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Chapter 6 Review Homework Question 9

Question

Chapter 6 Review Homework

9.  Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Four cards are selected from a standard 52-card deck without replacement. The number of fives selected is recorded.

 

Does the probability experiment represent a binomial​ experiment?

  1. ​No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.
  2. ​No, because there are more than two mutually exclusive outcomes for each trial.
  3. ​No, because the experiment is not performed a fixed number of times.
  4. ​Yes, because the experiment satisfies all the criteria for a binomial experiment.

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This question is taken from Math 227 – Statistics » Summer 2021 » Chapter 6 Review Homework