efrazier2017
Answered

You have a continuous random variable X, for which the mean µ 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?

Verified Answer :

MissPhiladelphia

Since the random variable x is continuous, we can make use of linear operator
E(X) = E(5 - 3X)
X = E(5) - E(3X)
X = 5 - 3E(X)
X = 5 - 3(2.71)
X* = -3.13

The mean of the transformed variable is -3.13.

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