Windows 7: Random shutdown problems

Whether i am playing games (ex. Half-life 2) or just listening to music, my computer will shutdown on me without any warning whatsoever. Ive sent error reports and i dont know what to do. I'm using a laptop (see profile-system specs for details).

Problem signature:

Problem Event Name: BlueScreen
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 4105

Additional information about the problem:

BCCode: f4
BCP1: 0000000000000003
BCP2: FFFFFA800789EB30
BCP3: FFFFFA800789EE10
BCP4: FFFFF800031DE510
OS Version: 6_1_7601
Service Pack: 1_0
Product: 768_1

Files that help describe the problem:

C:\Windows\Minidump\072812-23805-01.dmp
C:\Users\Alistair\AppData\Local\Temp\WER-91697-0.sysdata.xml

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C:\Windows\system32\en-US\erofflps.txt

This is a BSOD, correct? I've asked for this thread to be moved to the correct board. Once it is moved, you will see BSOD posting instructions when you reply to the thread. Follow them and upload the required files - that will help us analyze your BSOD.

here is what i got after following the tutorial for the diagnostics tool