Expectation of a discrete random variable
The expectation is the probability-weighted average of all values a discrete random variable can take. It gives the long-run average value of the variable over many repeated trials.
E[X]=\sum_{x} x\,P(X=x)What the symbols mean
| discrete random variable | |
| a possible value of X | |
| probability that X takes the value x | |
| expected value of X |
About this formula
- FieldStatistics
- TopicProbability distributions
- LevelHigh school
- Also calledexpected value discrete random variable, mean of a discrete random variable, discrete expectation formula, probability weighted sum, expected value formula, mean value of discrete distribution
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