Expected value

2021-01-08 Expected Value shark 1 min read

The average of a random variable is the most important single piece of information about a distribution. We call this the expected value, denoted as $E(X)$ .

$E(X) = \sum_{i=1}^m (x \times P(X = x))$

Properties:

$E(X + Y) = E(X) + E(Y)$

$E(X \times Y) = E(X) \times E(Y)$ if X and Y are independent

$E(a \times X) = a \times E(Y)$ a is a constant value

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