Question

What requirements are necessary for a normal probability distribution to be a standard normal probability​ distribution?

Answer 1

Answer:

$\mu = 0$ represent the mean and,

$\sigma = 1$ represent the deviation

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X a random variable distributed normally. For this case we just need to conditions in order to satisfy a standard normal distribution

$\mu = 0$ represent the mean and,

$\sigma = 1$ represent the deviation

On this case we say that $X \sim N(0,1)$ is a normal standard distribution.