SOLUTION: Please help solve the following problem: Given that Z is a standard normal variable, the variance of Z a) Is always greater than 2.0 b) Is always greater than 1.0 c) is always

Algebra ->  Probability-and-statistics -> SOLUTION: Please help solve the following problem: Given that Z is a standard normal variable, the variance of Z a) Is always greater than 2.0 b) Is always greater than 1.0 c) is always       Log On


   

Question 1075930: Please help solve the following problem:
Given that Z is a standard normal variable, the variance of Z
a) Is always greater than 2.0
b) Is always greater than 1.0
c) is always equal to 1.0
d) Is always equal to zero
e) cannot be calculated
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the z-score is a standardized normal distribution.

the mean is always 0.
the standard deviation is always 1.

since the variance is equal to the standard deviation squared, then the variance is always equal to 1 as well.