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$If a variate X is expressed as a linear function of two variates U and V in the form X = a U + b V, then the mean X of X is$

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aU−bV

U−V

bU−aV

None of these

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detailed solution

Correct option is D

We have ΣX=aΣU+bΣV . Therefore, X¯=1n∑X=a⋅1n∑U+b⋅1n∑V=aU¯+bV¯

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If a variate X is expressed as a linear function of two variates U and V in the form X=aU+bV , then the mean X of X is

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Ready to Test Your Skills?

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$If a variate X is expressed as a linear function of two variates U and V in the form X = a U + b V, then the mean X of X is$