PROBABILITY

discrete expectation

averages possible values ​​based on probability weighting. The

E[X]=∑xx P(X=x)\mathbb E[X]=\sum_x x\,P(X=x)

symbols, variables and units

X,x: random variables and values; P: probability; expectation has the same unit as X.

applicable conditions and boundaries

is absolutely integrable and guarantees finite expectation; tail probabilities cannot be ignored.

formula source code

The following is a copyable LaTeX expression.

\mathbb E[X]=\sum_x x\,P(X=x)

Reference and Extended Learning

Harvard Stat 110 · Probability ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

expectationexpectations

Same subject formula

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