In the notation below,X is the random variable,E and V refer to the expected value and variance,respectively.Which of the following is false?
A)E(3X)= 3E(X)
B)V(2)= 0
C)E(X + 1)= E(X)+ 1
D)All of these choices are true.

Question

Quizplus · Accepted Answer

All the statements provided are true based on the properties of expected value and variance. A) The expected value is linear, so E(3X) = 3E(X). B) The variance of a constant is 0, so V(2) = 0. C) Adding a constant shifts the expected value by that constant, so E(X + 1) = E(X) + 1.

In the Notation Below,X Is the Random Variable,E and V