37 weeks. 80% thinned out but no dilation? When should I be going into labor?

I was just wondering when I should be going into labor. I will be 38 weeks on Friday and just curious if I am going to go past 40 weeks or if I am going to go before then? I know no one can tell me exactly what I am looking for is other experiences with being nearly completely thinned out and then went into labor afterwards. Thanks in advance.