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.