Given that Z is a standard normal random variable, what is the value of Z if the area to the left of Z is 0.119?
A)0.381
B)+1.18
C)-1.18
D)2.36

Question

Quizplus · Accepted Answer

Using a standard normal distribution table, locate the area corresponding to 0.119 which is the area to the left of Z. The closest area to 0.119 in the table is 0.1190, located in the row for 1.1 and the column for 0.08. This means that the Z-score for an area of 0.119 to the left of Z is between 1.1 and 1.18. Since the standard normal distribution is symmetric, we can determine the Z-score for an area of 0.119 to the right of Z by subtracting the Z-score for an area of 0.119 to the left of Z from 0. Therefore, the Z-score for an area of 0.881 to the right of Z is approximately -1.18.

Given That Z Is a Standard Normal Random Variable, What