Given that X is a normal variable, which of the following statements is (are) true?
A)The variable X + 5 is also normally distributed.
B)The variable X - 5 is also normally distributed.
C)The variable 5X is also normally distributed.
D)All of these choices are correct.

Question

Quizplus · Accepted Answer

Adding or subtracting a constant to a normal variable, or multiplying it by a constant, results in a distribution that is also normal. This is because these operations only shift and scale the distribution, without changing its shape.

Given That X Is a Normal Variable, Which of the Following