KnowraLinearity of expectationLinked fromLinked fromThe 7 pages that link to Linearity of expectation, each with the reason it gives.All 7Related 6Narrower topic 1Expected valueRelated: This property makes complicated averages tractable by splitting them into simpler terms.Arithmetic meanRelated: It follows the same additive structure as the arithmetic mean.Probabilistic methodRelated: It lets proofs show that some outcome meets a target by estimating an average.Sample meanRelated: It lets the expected sample mean be derived by averaging the observations' expectations.Coupon collector's problemRelated: It lets the waiting times for successive new types be added simply.Wald's equationNarrower topic: Wald's equation extends this familiar rule to a random number of summands.Bienaymé's identityRelated: It underlies the expansion of the centered sum used to derive the identity.