Suppose that each of the four experiments in problem 4.4/31 is to be performed n = 9 times, and the nine resulting distances averaged. estimate the probability p x (2 4) ≤ ≤ for each of (a), (b), (c), and (d). [note: use the central limit theorem, and the fact that, for (c), the mean and variance are µ = 3 and σ 2 = 1.5, respectively.]

Atravel agent is booking a trip to england, scotland, ireland, and france for a group of senior citizens. the agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (e = england, i = ireland, s = scotland, f = france). which country is the condorcet winner? number of votes 15 12 16 19 1st f e e i 2nd e s i s 3rd s i s e 4th i f f f 1. scotland 2. england 3. france 4.ireland