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Sample point

by , PhD

In a probabilistic experiment, a sample point is one of the possible outcomes of the experiment. The set of all sample points is called sample space.

Table of Contents

Notation

The sample space is usually denoted by the Greek letter Omega (Omega) and a sample point is indicated by its lowercase version omega (omega): [eq1]

Example

Suppose the random experiment is the flip of a coin. It can give rise to two possible outcomes: tail ($T$) and head (H). $T$ and H are the two sample points and[eq2]is the sample space.

More details

The notions of sample space and sample point are discussed in detail in the lecture entitled Probability.

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How to cite

Please cite as:

Taboga, Marco (2021). "Sample point", Lectures on probability theory and mathematical statistics. Kindle Direct Publishing. Online appendix. https://www.statlect.com/glossary/sample-point.

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