Asked by Ashley Skyla on May 15, 2024
Verified
Given that Z is a standard normal random variable, what is the value z if the area to the right of z is 0.9066?
A) 1.66
B) -1.32
C) 0.66
D) -0.66
E) 1.02
Standard Normal
A special case of the normal distribution with a mean of zero and a standard deviation of one, commonly used in z-score calculations.
Area
An evaluation of the area covered by a shape or surface in two dimensions, calculated in units².
- Perceive and evaluate z-scores and their respective probabilities.
- Apply the properties of the standard normal distribution to solve problems.
Verified Answer
KB
Karissa BlessMay 22, 2024
Final Answer :
B
Explanation :
The area to the right of z being 0.9066 implies that the area to the left of z is 1 - 0.9066 = 0.0934. Looking up this area in the standard normal distribution table or using a calculator to find the z-score gives us z = -1.32.
Learning Objectives
- Perceive and evaluate z-scores and their respective probabilities.
- Apply the properties of the standard normal distribution to solve problems.