Betteley (1977) provides an interesting addition law for expectations. Let X and Y be any two random
Question:
X ∧ Y = min(X, Y) and X V Y = max(X, Y).
Analogous to the probability law P(A ∪ B) = P(A) + P(B) - P(A ∩ B), show that
E(X V Y) = EX + E Y - E(X A Y).
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