Final answer:
The correct answer is that the parasympathetic division stimulates the gallbladder to release bile, as part of its role in the 'rest and digest' function of the ANS.
Step-by-step explanation:
The parasympathetic division of the autonomic nervous system (ANS) is responsible for restful and digestive functions, often having opposing effects to the sympathetic nervous system. Focusing on the options provided in the student's question, the correct answer is that the parasympathetic division stimulates the gallbladder to release bile. This action is part of the 'rest and digest' system which facilitates digestion.
On the contrary, it does not inhibit pancreas insulin release nor does it stimulate the heart to beat faster; it actually slows it down. Additionally, it does not relax the airways but constricts them following a 'fight-or-flight' response. Therefore, the overall role of the parasympathetic division is to return the body to homeostasis following stress-inducing situations.