Consider the distribution X²/ⁿ (X-squared with n degrees of freedom). Let fₙ: R → R denote the pdf of X²/ⁿ, and let Aₙ denote the maximizer of fₙ (i.e., the peak of the pdf of the distribution X²/ⁿ is located at Aₙ).
What is lim n→[infinity] Aₙ? (Answer heuristically, based on discussions in the lecture video about how the shape of the chi-squared n0 distribution evolves with n.)
a. 0
b. 1
c. [infinity]
d. None of the above