Which one of the following options describes correctly the general relationship among the quantities E(X), E[X(X – 1)] and Var(X). O Var(X)= E[X(X – 1)] + E(X) +[E(X)]² Var(X)= E[X(X – 1)] + E(X) – [E(X)]² O Var(X) = E[X(X – 1)] – E(X) + [E(X)]² %3D Var(X) = E[X(X – 1)] – E(X) – [E(X)F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1

Which one of the following options describes correctly the general relationship
among the quantities E(X), E[X(X – 1)] and Var(X).
O Var(X) = E[X(X – 1)] + E(X) + [E(X)]²
O Var(X) = E[X(X – 1)] + E(X) – [E(X)]²
O Var(X) = E[X(X – 1)] – E(X) + [E(X)]²
Var(X) = E[X(X –- 1)] – E(X) – [E(X)P
Transcribed Image Text:Which one of the following options describes correctly the general relationship among the quantities E(X), E[X(X – 1)] and Var(X). O Var(X) = E[X(X – 1)] + E(X) + [E(X)]² O Var(X) = E[X(X – 1)] + E(X) – [E(X)]² O Var(X) = E[X(X – 1)] – E(X) + [E(X)]² Var(X) = E[X(X –- 1)] – E(X) – [E(X)P
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