how to prove that the variance of cX+d is c^2 V(X)+d where X is a continuous random variable

Question : Prove that the variance of cX+d is c^2 V(X)+d where X is a continuous random variable. Solution : We know that variance of a continuous random variable is \[Var\left(X\right)=\int_{-\infty}^{\infty}{x^2\ f\left(x\right)dx}-\left(\int_{-\infty}^{\infty}{x\ f\left(x\right)dx}\right)^2\] And variance of a function g(X) of…

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