Btw this is from a custom gaming PC I built and personally use.
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Yes, it is normal for the out-of-the-box installation to have 70 processes running. Using SysInternals Process Explorer would show that many of them are actually services that are on by default, and some others are system processes.
For the most part, I will say yes. With Windows 10 Task Manager you are able to see a number of tasks running as system.
For example, if I run Google Chrome (1x Tab) I have the following processes listed in task manager:

If you are unsure of a process, you can search online using task manager:

There are (to my knowledge) no updated process list for windows applications, however
Some of my games have been crashing recently, so I open task manager to see what's sucking up all my ram. I see I have at least 200+ background processes running, taking up about 24 percent of my ram at any given time. (I have 32g of ram btw) Is this normal or should I do a purge?
I have 224 processes running here.
There is no number that you *should* have. The number is irrelevant. The only thing that's important is *what* they are.
Are you having a problem with your computer's performance? If so, please describe the problem in detail. If not, don't worry about it.
I currently have 176 processes, and my computer runs like a charm. There is no 'right' number - you have what you need. The whole idea behind processes is to break large programs in many small pieces known as processes, and then execute only the processes that are needed. This provides two great advantages: it helps your computer to run faster; and it reduces the possibility that an entire program will crash.