Q.

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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a

aU¯−bV¯

b

U¯+V¯

c

bU¯+aV¯

d

aU¯+bV¯

answer is D.

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Detailed Solution

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