Question

Identify the distribution of the standardized version of a normally distributed variable.

Short answer

The standard normal distribution is called $z$ score or standard score$z=\frac{x-\mu }{\sigma }$.

Step-by-step solution

Given Information 

Identify the distribution of the standardized version of a normally distributed variable.

Explanation 

Take the normal distribution as an example.

A specific case of the normal distribution is the standardized normal distribution.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

Hence, the standard normal distribution is called $z$score or standard score. $z=\frac{x-\mu }{\sigma }$.