For each of the following questions, choose either authority, rational method or empirical method as the best way to answer…

For each of the following questions, choose either authority, rational method or empirical method as the best way to answer the question, and explain how you would do it. Then consider whether any alternative methods might be used.
is your course instructor male or female
what is the average annual snowfall in Buffalo New York
Pick a student in your class (not yourself)? How old is he or she? How many arms did the Roman emperor Nero have
Tommy is exactly 37 inches tall and a person has to be 40 inches tall to ride the roller coaster. Can Tommy ride?
The local music store is going out of business and is selling all cds for $9.99, You have $42,05? Have many cds can you buy (assume no tax)
Was Henri Toulouse-Lautrec a painter, a musician or a soccer player?