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$If S.D. of X is σ, then S.D. of the variable U = \frac{a X + b}{c}, where a, b, c are constants, is$

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Correct option is B

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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$If S.D. of X is σ, then S.D. of the variable U = \frac{a X + b}{c}, where a, b, c are constants, is$