Q.

If S.D. of X is σ , then S.D. of the variable U=aX+bc, where a,b,c are constants, is

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a

caσ

b

acσ

c

bcσ

d

c2a2σ

answer is B.

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Detailed Solution

Var⁡(X)=σ2Var⁡acx=a2c2σ2Var⁡acx+bc=a2c2σ2+0Var⁡aX+bc=a2c2σ2S.D.  of  aX+bc=acσ
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If S.D. of X is σ , then S.D. of the variable U=aX+bc, where a,b,c are constants, is