for a standard normal distribution, which of the following variables always equals 1?\nμ\nσ\nx\nz

Answer:

B. $\sigma$

Explanation:

Step1: Recall standard - normal distribution properties

A standard - normal distribution has mean $\mu = 0$ and standard deviation $\sigma=1$.

Step2: Analyze each variable

• $\mu$ (the mean) of a standard - normal distribution is 0.
• $\sigma$ (the standard deviation) of a standard - normal distribution is 1.
• $x$ is a general value from the distribution and can take on any real - number value.
• $z$ is the z - score, calculated as $z=\frac{x - \mu}{\sigma}$, and its value depends on $x$, $\mu$, and $\sigma$.