Question

You have a continuous random variable X, for which the mean equals 2.71. You apply the transformation X*=5-3X to the values of the random variable. What is the mean of the transformed variable?

The variance from the same random variable is 1.22. After applying the transformation, what is the new variance?

Answer 1

@iambatman

Answer 2

@Zarkon

Answer 3

the expected value is a linear operator

Answer 4

\[E(aX+b)=aE(X)+b\]

Answer 5

the variance is not

\[Var(aX+b)=a^2Var(X)\]