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    Linear Combinations of Random Variables — OCR A-Level Further Mathematics

    Teaching note based on the OCR specification.

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    1. 5.04a Be able to use the following results, including the cases where a = b = ±1 and/or c = 0: 1. E(aX + bY + c) = aE(X) + bE(Y) + c, 2. if X and Y are independent then Var(aX + bY + c) = a² Var(X) + b² Var(Y).

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