Hi, all. A newbie here, but an old Beatle fan. I play guitar and bass, and I've had a Rickenbacker 4001s since 1978. It was out of style when I bought it. But people are still impressed with it when I plug it in--especially if I plug it into an Ampeg SVT.
You've made a good purchase. It's a versatile bass. It may not have the thump and pop of the Precision, but it can get down and low.
By the way, Geddy Lee switched to a Fender Jazz, not a Precision.