Coolant temp light and buzzer

[Mtrdrms]

Howdy,
Recently, after starting and idling for a few minutes, my engine temp light and guage will come on along with a really annoying beep.
The temp reads low.
I'm not sure how to diagnose this. It seems to me like a bad temp sensor or connection.
Any suggestions?
2000 BB 8.3
Thanks!

[Doe69936]

Might be a low coolant warning

[Mtrdrms]

Coolant level is good. It doesnt happen all the time.

[Doe69936]

I bet the coolant level sensor or the connection is bad or going

[Mtrdrms]

Ok, Ill check into that. Thanks.