Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.8212?
A) 0.92 .
B) - 0.05 .
C) 0.05
D) - 0.92 .

Question

Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.8212? 
A) 0.92 . 
B)  - 0.05 . 
C)  0.05 
D)  - 0.92 .

Quizplus · Accepted Answer

Since the area to the right of Z is 0.8212, the area to the left of Z is 1 - 0.8212 = 0.1788. Using a standard normal table or calculator, we can find the Z-value that corresponds to an area of 0.1788 to be approximately -0.92. Therefore, the value of Z that corresponds to an area to the right of Z of 0.8212 is about -0.92, so the answer is D) -0.92.

Given That Z Is a Standard Normal Random Variable, What