how to prove that the mean of cX+d = E(X)+d where X is a continuous random variable

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

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