Pregunta
A survey is given to 50 people to determine if they prefer white or brown rice at a local Chinese restaurant. Given the following reasons, determine which fulfils one of the requirements for a binomial distribution. (1 point) The study has a finite number of trials. The study is conducted randomly. The survey focuses on food only from one restaurant. The study is conducted locally.
Ask by Goodwin Savage. in the United States
Mar 14,2025
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The study has a finite number of trials.
Solución
The binomial distribution requires that the experiment consists of a fixed number of independent trials. In this example, the survey is given to exactly \(50\) people, which constitutes a finite (fixed) number of trials. This meets one of the key requirements for a binomial distribution.
Thus, the option that fulfills one of the requirements is:
- **The study has a finite number of trials.**
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Simplifique esta solución Mind Expander
The survey focuses on food only from one restaurant. This requirement helps to ensure that the preferences for rice are based on a specific context, making the data collection more relevant and reducing variability that could arise from different dining experiences elsewhere. The study is conducted randomly. Randomness in selecting participants helps eliminate bias, ensuring that the sample more accurately represents the broader population's preferences, thereby fulfilling the criteria for a fair binomial distribution.
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