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.
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.
theoretical
It is experimental or empirical probability.It is experimental or empirical probability.It is experimental or empirical probability.It is experimental or empirical probability.
Empirical anything is what is observed. Theoretical is a calculation of what things ought to be.
empirical probability is when you actually experiment with it and get data values, and theoretical probability is when you use math to make an educated guess.
In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)
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.
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.
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.
Empirical
The empirical probability can only be determined by carrying out the experiment a very large number of times. Otherwise it would be the theoretical probability.
They are both measures of the likelihood of events whose outcome is not normally known.