1.King Arthur is conducting a review of his kingdom. His Master of Coin randomly selects 12 fiefdoms and records the total acres of the region, the types of crops it grows, the number of pieces of gold paid in taxes annually, the distance from the feudal lord's castle to the king's palace, and how many peasants pledge fealty to the lord.

(a) Identify an individual, the population, the sample and any variables in the study. Classify each variable as qualitative (Q), continuous (C), or discrete (D).

(b) Is this investigation a designed experiment or an observational study? Justify your response.