No, $P(X<1)$ is different from $P(|X|<1)$. After all $-2 < 1$ but $|-2|$ isn't!
To get $P(|X|<1)$ you need to find this area:
. . .
While $P(X<1)$ would be this area:
[Credit: I used the shadenorm
function here, which was written by Tony Cookson. To editorialize a little, one mark of a really good utility function is one for which basic usage can be discerned from simply reading the argument list; this was one of those - paste it in, use it in the obvious way, it worked. It looks like there's a similar function shade.norm
in the package asbio
(see the description here)]