Asked by Kiara Barrett on Sep 27, 2024
Verified
The probability that a standard normal random variable Z is less than −3.5 is approximately 0.
Standard Normal
A normal distribution with a mean of 0 and a standard deviation of 1.
Random Variable
A random variable represents numerical outcomes of random phenomena or experiments, varying in value based on the outcomes of the process.
- Interpret the probability of a Z-score in a standard normal distribution.
Verified Answer
HS
Harlan S Crowderabout 17 hours ago
Final Answer :
True
Explanation :
Since the standard normal distribution is symmetric around the mean, the probability of Z being less than −3.5 is the same as the probability of Z being greater than 3.5, which is very close to 0. Therefore, the statement is true.
Learning Objectives
- Interpret the probability of a Z-score in a standard normal distribution.