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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