An empirical probability distribution is based on

An empirical probability distribution is based on

• A. Scientific principle.
• B. Logic.
• C. Historical data.
• D. Theory.

Answer: (C)

An empirical probability distribution is built from observed outcomes. It uses the relative frequencies of outcomes from actual data collected from past events or experiments—historical data. For example, tallying results from many rolls of a die and dividing each face’s count by the total rolls yields the empirical probabilities for each face. This contrasts with theoretical distributions, which come from a model or assumed probabilities rather than observed data. The empirical distribution provides an estimate of true probabilities and tends to improve with more data, due to the law of large numbers. It can be biased if the data aren’t representative of the situation being modeled.

An empirical probability distribution is built from observed outcomes. It uses the relative frequencies of outcomes from actual data collected from past events or experiments—historical data. For example, tallying results from many rolls of a die and dividing each face’s count by the total rolls yields the empirical probabilities for each face. This contrasts with theoretical distributions, which come from a model or assumed probabilities rather than observed data. The empirical distribution provides an estimate of true probabilities and tends to improve with more data, due to the law of large numbers. It can be biased if the data aren’t representative of the situation being modeled.