Memory Problems on MSI Notebook

Hello all,

I'm currently having some issues with my MSI GT627 notebook.
I've been getting fairly frequent BSOD crashes.
(Up to 2-4 times a day.) I ran the windows memory diagnostic tool and it says I have a hardware problem.
I contacted MSI, but my system is out of warranty, so I'd rather diagnose and fix the problem myself.
I'm not extremely knowledgeable re: computers, but I think I could replace RAM if that's the issue.
Any help would be greatly appreciated.

System info output from Speccy is attached if that will help.