$Y$ gene in $lac$ operon is responsible for .....

Which of the following statements concerning the regulatory gene $(i)$,associated with the $lac$ operon are incorrect?
$(I.)$ $\text{mRNA}$ is transcribed from the $i$ gene whether lactose is present or not.
$(II.)$ $\text{mRNA}$ is transcribed from the $i$ gene only when the lactose is present.
$(III.)$ $\text{mRNA}$ is transcribed from the $i$ gene only when the lactose is not present.
$(IV.)$ Lactose inhibits the translation of $i$ gene $\text{mRNA}$.

Operon is a

The regulation of the $lac$ operon by a repressor is known as:

When $Escherichia$ $coli$ cells are cultured in a medium where $Lactose$ is absent,the $i$ gene of $Lac$ $Operon$ continues to produce repressor $mRNA$,because it is:

In an inducible operon, the genes are