Question

For a standard normal distribution, which of the following variables always equals 1?

Answer 1

Answer:

The mean is 0 and the deviation 1. And we can express this distribution with the following notation:

$Z \sim N (\mu =0,\sigma =1)$

$\sigma = 1$ correct the deviation for this special distributionn is always 1

Step-by-step explanation:

The normal standard distribution is an special case of the normal distribution with some parameters on specific.

The mean is 0 and the deviation 1. And we can express this distribution with the following notation:

$Z \sim N (\mu =0,\sigma =1)$

And when we analyze the options we can conclude this:

$\mu$ this value for this distribution is always equal to 0 and not 1

$\sigma = 1$ correct the deviation for this special distributionn is always 1

$x$ this value can be any value higher or lower than 1 so then is not the correct option

$z$ this variable can be different from 1 so then is not the correct option

Answer 2

Answer:

The mean is 0 and the deviation 1. And we can express this distribution with the following notation:

correct the deviation for this special distributionn is always 1

Step-by-step explanation:

The normal standard distribution is an special case of the normal distribution with some parameters on specific.

The mean is 0 and the deviation 1. And we can express this distribution with the following notation:

And when we analyze the options we can conclude this:

this value for this distribution is always equal to 0 and not 1

correct the deviation for this special distributionn is always 1

this value can be any value higher or lower than 1 so then is not the correct option

this variable can be different from 1 so then is not the correct option

Step-by-step explanation: