Suppose 90 men are admitted and 10 men are denied to the math department, and 1 man is admitted while 9 men are denied to the English department, at 2DU (Two Department University). Suppose the corresponding numbers for women are: 9, 1, 10, 90. a. Show that gender and admission rate at 2DU are not independent, but that they are conditionally independent when you condition on the department. b. What are the prior odds that a random applicant is a man

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