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Prove that V(aX) = a2V(X) - Business Mathematics and Statistics

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प्रश्न

Prove that V(aX) = a2V(X)

योग

उत्तर

L.H.S = V(ax)

= E(ax)2 – [E(ax)]2

= a2E(x2) – [aE(x)]2

= a2E(x2) – a2E(x)]2

= a2E(x2) – E(x)2]

= a2v(x)

= R.H.S

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 8. (i) | पृष्ठ १४४
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