Question

You have a continuous random variable X, for which the mean µ equals 2.71.

Answer 1

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.<span />