for a standard normal distribution, which of the following variables always equals 0?\nμ\nσ\nx\nz

for a standard normal distribution, which of the following variables always equals 0?\nμ\nσ\nx\nz
Answer
Explanation:
Step1: Recall properties of standard normal
The standard normal distribution has mean $\mu = 0$ and standard - deviation $\sigma=1$.
Step2: Analyze each variable
- $\mu$ represents the mean of the distribution. For a standard normal distribution, $\mu = 0$.
- $\sigma$ represents the standard deviation. For a standard normal distribution, $\sigma = 1$.
- $x$ is a raw - score from the original normal distribution before standardization. Its value can vary.
- $z$ is the standardized score calculated as $z=\frac{x - \mu}{\sigma}$, and its value can vary depending on the value of $x$.
Answer:
$\mu$