Properties of variance - University of Washington
29 E[X] = 0 Var[X] = 1 Y = 1000 X E[Y] = E[1000 X] = 1000 E[x] = 0 Var[Y] = Var[1000 X] =106Var[X] = 106. In general: Var[X+Y] ≠ Var[X] + Var[Y] Ex 1: Let X = ±1 based on 1 coin flip As shown above, E[X] = 0, Var[X] = 1 Let Y = -X; then Var[Y] = (-1)2Var[X] = 1 But X+Y = 0, always, so Var[X+Y] = 0 Ex 2: As another example, is Var[X+X ... ................
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