Question

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

Mu
Sigma
x
z

Answer 1

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

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

Explanation:

Answer 2

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

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