for a standard normal distribution, which of the following variables always equals 1?\no $mu$\no $sigma$\no…

for a standard normal distribution, which of the following variables always equals 1?\no $mu$\no $sigma$\no $x$\no $z$

for a standard normal distribution, which of the following variables always equals 1?\no $mu$\no $sigma$\no $x$\no $z$

Answer

Explanation:

Step1: Recall properties of standard normal

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

Step2: Analyze variables

  • $\mu$ is the mean of the distribution, for standard normal $\mu = 0$.
  • $\sigma$ is the standard deviation, for standard normal $\sigma = 1$.
  • $x$ is a raw - score from the distribution and can take any real value.
  • $z$ is the z - score, calculated as $z=\frac{x - \mu}{\sigma}$, and can take any real value.

Answer:

$\sigma$ (second option)