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Total probability rule for expected value

  • \[E(X) = E(X | S_1)P(S_1) + E(X | S_2)P(S_2) + ... + E(X | S_n)P(S_n)\]
  • Where S_1, S_2, ... are mutually exclusive and exhaustive
  • Related to 113.036 Statistics - Expected Value

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