Answer
$E(X) = \sum x_i \cdot P(x_i) = x_1 P(x_1) + x_2 P(x_2) + \dots + x_k P(x_k)$.
Explanation
Expected value represents the long-term average outcome of a random process repeated many times.
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What is the expected value $E(X)$ of a discrete random variable with outcomes $x_i$ and probabilities $P(x_i)$?
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