Continuous Sample Space

A Continuous Sample Space is a Sample Space that is composed of one or more Interval Scales ? Numeric Intervals.

• AKA: Uncountable Sample Space, Ordered Continuous Sample Space.
  • …
• Example(s):
  • The Time Duration [0, ∞) of a Lifetime Experiment, such as how long a lightbulb will last.
  • The Interval of Minimum to Maximum person Heights.
  • …
• Counter-Example(s):
  • {Heads,Tails}, e.g. the Sample Space of a Coin Toss Experiment.
  • {1,2,3,4,5,6}, e.g. the Sample Space of a Dice Roll Experiment.
• See: Discrete Sample Space.

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References

2008

• (Qian) => Gang Qian. (2008). Basic Probability Theory." Lecture Notes: AME 598 Sensor Fusion, Arizona State University, Fall 2008.
  • Sample Space (S): defined as the set of all possible outcomes from a random experiment.
  • Countable or discrete sample space, one-to-one correspondence between outcomes and integers
  • Uncountable or continuous sample space

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