A rm is looking to hire a worker with complete college education. There are two types of such workers: high-productivity, with marginal productivity of 10, and lowproductivity, with marginal productivity of zero. Out of all students completing college, a fraction ph has high productivity, and the rest (p; = 1 ph) have low productivity. The rm is riskneutral. That is, it only cares about expected prots associated from hiring a worker: the difference between the expected productivity and the wage. 8. Suppose that firms cannot observe workers' types. Suppose high school students who know for sure they are of the low type are choosing between different universities. Based on the answer from question 7, and assuming that o is the same at all universities, should the stu- dents choose a school with a higher or lower share of high productivity students ph? What about the students who know for sure that they are the high-productivity types? (Assume that high productivity workers who get jobs before graduation will get paid 10, and that firms can observe pr of different schools. Students are looking to maximize their future income.) Hint: a higher ph does not mean the students will learn more. The students in this ques- tion are sure what their types are, so the school's Ph only affects the students' labor market outcomes. (a) Low-type students should choose a school with higher ph, and high-type students should choose a school with higher Ph (b) Low-type students should choose a school with higher ph, and high-type students should choose a school with lower Ph (c) Low-type students should choose a school with lower ph, and high-type students should choose a school with higher Ph (d) Low-type students should choose a school with higher ph, but high-type students are indifferent with regard to the schools' ph (e) All students are indifferent with regard to the schools' ph