Final answer:
No, the β2-microglobulin domain is not associated with MHC class II molecules.
Step-by-step explanation:
No, when comparing the structure of MHC class I to MHC class II, you would not expect to find the β2-microglobulin domain associated with MHC class II molecules. MHC class I molecules are composed of a longer α protein chain coupled with a smaller β₂ microglobulin protein, where only the α chain spans the cytoplasmic membrane.
On the other hand, MHC class II molecules are composed of two protein chains, an α and a β chain, that are approximately similar in length. Both chains of MHC class II molecule fold into two separate domains: α₁ and α₂, and β₁ and β₂.