# Math Help - Changing variance on N(0,1)

1. ## Changing variance on N(0,1)

Sorry folks...

What I posted here was so bad and wrong that I cannot keep it. It's shameful...

Therefore I remove it.

My sincere apologies for removing the original posting.

2. This is not true in general. Choose $x=0$, then:

$
\sigma^2\ e^{-\frac{x^2}{2}} = \sigma^2\ e^{-\frac{0^2}{2}} = \sigma^2
$

while:

$e^{-\frac{x^2}{2 \sigma^2}} = e^{-\frac{0^2}{2 \sigma^2}} = 1$

3. ## iknowone, Thanks.

I got that what I wrote is totally wrong...

I'm going to remove that shameful posting.

The correct way to write it is:

$
N(0,\sigma^2) = \frac{1}{\sigma} \phi\left(\frac{x}{\sigma}\right)
$

where

$
\phi\left(x\right) = N(0,1)
$