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?
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
