A bit hard to help you with the information you've supplied. BSOD's (Blue Screen of Death's) will always have a a code at the top of the screen with something like the following:
System error in xxxxx.dll at (0x00003fc0) then usually a bunch of other codes behind it. The memory dump is usual after a crash. My guess is that you installed some drivers on this new computer and when you re-booted it loaded the driver but it wasn't compatable. Boot the computer is safe mode (hit F8 many times when it is first turned on untill a menu appears) then choose save mode from the menu. Once it loads, remove any of the new drivers you just installed, then reboot as normal. You can also try "load from last known good ..." on that same startup menu. That will rool back any device drivers or updates. It is more likely to have device errors on a new machine because you are loading so many things and some may not be designed for your hardware.
Okay, today MkAfee was doing updates and needed to restart computer. So it goes through that. Windows comes back up, Weather Display loads up but a few seconds later I get this blue screen like those that make you go, "Oh oh oh my gosh". However normal blue screens I'm used to say, "fatal error". This didn't say that, but at the bottom said something about physical memory being dumped. Still nearly have me a heart attack.
Also, The laptop is brand new as of 3 days ago. Not referbished. Un-used. I find it hard to comprehend a brand new out of the box computer in perfect condition having issues or failing like this.
Hoping there are some computer buffs here that are familuar with that I described. Hope I don't have to return it.