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.
When you know for sure that the data you are trying to describe has a well-known theoretical probability distribution. For example, you 'know' from past experience that the heights of a certain age group in a school is normally distributed.
When there is a good theoretical model for the experiment and the model allows you to identify all the factors affecting the outcome and determine their impact on the outcome. Even if you cannot identify all the factors, you can still use theoretical probability but the predictions from your model will be less reliable. Econometrics is a good example of using theoretical probability based on an incomplete understanding of the model.
Sometimes it is possible to define a model for a trial or experiment and then use mathematical or scientific rules to determine the probability of the possible outcomes. Such a procedure gives theoretical probabilities.
a machine has two parts the probability of failure of one parts in a given period of time is 0.06 the probability of failure of the other part in the same period os 0.08 what is the probability that the machine fails in that period of time ?
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.
When you know for sure that the data you are trying to describe has a well-known theoretical probability distribution. For example, you 'know' from past experience that the heights of a certain age group in a school is normally distributed.
When there is a good theoretical model for the experiment and the model allows you to identify all the factors affecting the outcome and determine their impact on the outcome. Even if you cannot identify all the factors, you can still use theoretical probability but the predictions from your model will be less reliable. Econometrics is a good example of using theoretical probability based on an incomplete understanding of the model.
theoretical
Sometimes it is possible to define a model for a trial or experiment and then use mathematical or scientific rules to determine the probability of the possible outcomes. Such a procedure gives theoretical probabilities.
One way to estimate the probability of an event is to use a theoretical model to compare the relative likelihood of the event compared to all possible outcomes.
a machine has two parts the probability of failure of one parts in a given period of time is 0.06 the probability of failure of the other part in the same period os 0.08 what is the probability that the machine fails in that period of time ?
When you have a model that describes the required situation well enough so that you can use scientific laws to calculate the probabilities of the outcomes of the experiment.
To help you find out the odds of an answer.
Weather people use probability to predict weather in the future based on passed recent weather and by clouds and winds
Occupations related to the sea would be plentiful in Minoan Society because the Minoans will use it to build houses, trade with other countries that are across the sea and use it to water their lands or farms.
There are two main ways: One is to calculate the theoretical probability. You will need to develop a model for the experiment and then use the laws of science and mathematics to determine the probability of the event (subject to the model's assumptions). A major alternative is the empirical or experimental method. This requires performing the trial many times. The probability of the event is estimated by the proportion of the total number of trials which result in the outcome of interest occurring.