Is it normal for a PC to use 3 GB of RAM with no apps open?

I've got 16 GB of RAM and use Windows 7. I'm asking because I used to use a machine with Win 7 that only had 1 GB RAM, but it worked fine and was fast.
Update: To clarify, I mean I have 16 GB of RAM in my PC and 3 GB of it is being used up with no programs open (except for Task Manager of course, which shows me it is using 3 GB of RAM, but I don't imagine that would affect anything)
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