Let X follows a normal distribution with mean 40 and variance 9. Then mean of Y= (X-40)/3 is
M(X−403)=M(X3−403)=13M(X)−M(403)=403−403=0M({\frac {X-40} 3})=M({\frac X 3}-{\frac {40} 3})={\frac 1 3}M(X)-M({\frac {40} 3})={\frac {40} 3}-{\frac {40} 3}=0M(3X−40)=M(3X−340)=31M(X)−M(340)=340−340=0
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