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

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प्रश्न

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

योग
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उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Random Variable and Mathematical expectation - Miscellaneous problems [पृष्ठ १४४]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 6 Random Variable and Mathematical expectation
Miscellaneous problems | Q 6 | पृष्ठ १४४

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