Is it possible a BIOS update would fix this?
It has been a week and without going back and looking though your dump file(s), I feel relatively safe in saying that yes a BIOS update might be helpful.
Or are you sure it's a RAM issue?
And I'm pretty comfortable admitting that the only thing I'm sure of, is that I'm not sure of anything when it comes to BSODs.
I would suggest that after testing your memory as suggested above, if it tests good then I would move next to your hard disk
Use the native Check Disk utility
chkdsk C: /R
and follow that up by using the vendor specific hard disk diagnostic utility provided by your hard drive manufacturer a list of some of which can be found here
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If the...