You would still have the same age, gender, personality, skin color, etc. and you would be able to speak at least one local language and would know basic information of the era and place. Your family, social standing, and such would be randomly picked.
Ok, we need to go to the store and buy some pipes.
What are pipes?
Oh. I think I fucked up.
Come on, obviously they knew what pipes were in the 1940s. They are cylinders made of lead.