Empirical probabilities.
Empirical anything is what is observed. Theoretical is a calculation of what things ought to be.
In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)
Theoretical implies the mathematical calculation of the probability. Empirical means the actual outcomes to happen.
There is no information on the relevant theoretical basis for estimating the probability: only an empirical or experimental, basis.
Empirical probabilities.
Empirical anything is what is observed. Theoretical is a calculation of what things ought to be.
Empirical and theoretical.Empirical and theoretical.Empirical and theoretical.Empirical and theoretical.
The term empirical means "based on observation or experiment." An empirical probability is generally, but not always, given with a number indicating the possible percent error (e.g. 80+/-3%). A theoretical probability, however, is one that is calculatedbased on theory, i.e., without running any experiments.Since there is no theory that will calculate the probability that an area will experience an earthquake within a given time frame, the 90% figure is an empirical probability, presumably based on data of major earthquakes in the San Francisco area over past years.
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In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)
They are both measures of the likelihood of specified events.
Theoretical
Theoretical
Theoretical implies the mathematical calculation of the probability. Empirical means the actual outcomes to happen.
There is no information on the relevant theoretical basis for estimating the probability: only an empirical or experimental, basis.
Empirical means by observation, so empirical probability, or experimental probability, is the probability that is observed in a set of trials. For example, if you flip a coin ten times and get seven heads, your empirical probability is 7 in 10. This is different than the theoretical probability, which for a fair coin is 5 in 10, but that result will only be approximated by the empirical results, and then only with a larger number of trials.