Asked by Luciana Joseph on May 29, 2024
Verified
Given that Z is a standard normal variable, the value z for which P(Z 
z) = 0.2580 is:
A) 0.70
B) 0.758
C) -0.65
D) 0.242
E) -0.242
Standard Normal
A normal distribution with a mean of zero and a standard deviation of one, used as the basis for z-scores in statistics.
- Decode and calculate z-scores and their connected probabilities.
- Harness the specifics of the standard normal distribution to manage problems.
Verified Answer
HN
Hannah Nguyen TranMay 30, 2024
Final Answer :
C
Explanation :
Since Z is a standard normal variable, we can use a Z-table to find the corresponding z-value for a given probability. Looking at the table, we find that the closest probability to 0.2580 is 0.2514, which corresponds to a z-value of -0.65. Therefore, the answer is choice C).
Learning Objectives
- Decode and calculate z-scores and their connected probabilities.
- Harness the specifics of the standard normal distribution to manage problems.