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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Prove that if E(X) = 0, then V(X) = E(X2) - Business Mathematics and Statistics

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Question

Prove that if E(X) = 0, then V(X) = E(X2)

Sum

Solution

V(X) = E(X2) – [E(X)]2

= E(X2) – 0 {Given that E(X) = 0}

Var(X) = E(X2)

Hence proved.

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Mathematical Expectation
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Chapter 6: Random Variable and Mathematical expectation - Miscellaneous problems [Page 144]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 6 Random Variable and Mathematical expectation
Miscellaneous problems | Q 6 | Page 144
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