Why is in attendance still a small amount of beta-galactosidase present contained by E. Coli, even when no lactose is present?
Answer:
This is the basal level of expression. The repressor is not continuously bound the the operator- it dissociates every immediately and then, giving Polymerase a adjectives to transcribe the gene. It happens next to every gene.
It is hereditary, so they own it there if they inevitability to use it later when they encounter lactose.
It is a leaky system. The repressor does not completley inhibit transcription.