Asked by Timothy Quaye on Jun 27, 2024
Verified
Given that Z is a standard normal random variable, the area to the left of a value z is expressed as:
A) P(Z ≥ z)
B) P(Z ≤ z)
C) P(0 ≤ Z ≤ z)
D) P(Z ≥ -z)
E) P(z ≤ Z ≤ 0)
Standard Normal Variable
A random variable that has a normal distribution with a mean of zero and a standard deviation of one.
Random Variable
A variable whose possible values are numerical outcomes of a random phenomenon.
- Derive the probabilities and identify the areas underneath the standard normal curve.
Verified Answer
JF
Jonathan FlowersJul 01, 2024
Final Answer :
B
Explanation :
The area to the left of a value z corresponds to the cumulative probability up to z, which is expressed as P(Z ≤ z) for a standard normal distribution.
Learning Objectives
- Derive the probabilities and identify the areas underneath the standard normal curve.