Final answer:
A repressor protein binds to the operator in the possible operon, inhibiting transcription of structural genes A, D, and E unless an inducer is present. The expression levels of these enzymes are high when the operator is nonfunctional, indicating that all three genes are typically regulated by the operator O.
Step-by-step explanation:
The type of regulator protein that is binding to the operator in this possible operon is a repressor. In prokaryotic gene regulation, such as in the E. coli lac operon model, a repressor protein can bind to the operator sequence to prevent transcription when certain cellular conditions are met, usually in the absence of a specific inducer molecule. In the presence of an inducer, the repressor is unable to bind to the operator, allowing RNA polymerase to initiate transcription of the structural genes adjacent to the operator.
As for whether genes A, D, and E are all under the control of the operator O, the correct answer would be (a) Yes, because when the operator is nonfunctional the genes E, D, and A expression levels are high. This pattern suggests that the normal function of the operator is to hold back or repress gene expression when the repressor is bound, and when it is nonfunctional due to a mutation, the repression is lifted, allowing for higher expression levels of the associated structural genes.