Define sample space in statistics.
Understand the Problem
The question is asking for the definition of 'sample space' in the context of statistics, which refers to the set of all possible outcomes of a statistical experiment or random trial.
Answer
The set of all possible outcomes of a random experiment.
The sample space is the set of all possible outcomes of a random experiment.
Answer for screen readers
The sample space is the set of all possible outcomes of a random experiment.
More Information
In probability theory, the sample space is foundational because it encapsulates every possible outcome that can occur in the context of a particular experiment. It is commonly denoted by the symbol S.
Tips
A common mistake is confusing the sample space with events. While the sample space includes all possible outcomes, events are subsets of the sample space.
Sources
- Sample Space (Definition and Examples of Sample Space) - BYJU'S - byjus.com
- Sample space - Wikipedia - en.wikipedia.org
- Sample Space in Statistics (Explained w/ 15 Examples!) - calcworkshop.com
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