Cervix at 36weeks

My doctor is very relaxed and is willing to let me go past my due date {unless medically necessary, of course}. I just want her to come when she's ready. Went today for my 36 weeks checkup and she is head down but my cervix is still extremely high and tight. He said he's predicting that she'll be a few days late. I'm not anxious or upset about this..just curious! What is the "normal" state of someone's cervix at 36 weeks?