Roomettes are indeed assigned, and which one you get will be indicated on your ticket (as highlighted below):
You can request a particular roommette (or bedroom, family bedroom, bedroom suite, etc.) by calling Amtrak or seeing an agent at the station; as with airline seats, the earlier you do this the better if you have a preference.
The car number will be indicated with a rollsign or some other indicator at or near the door of the car, and the attendant will direct you to the proper compartment.
Credit:stackoverflow.com‘
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