Homework 2 1. There are roughly 200 national research universities in the United States, about 40% of which are private (the other 60% being public). According to 2012 gures, 75.9% of the (undergraduate) students who attend a national research university attend a public university. The graduation rate (the proportion of undergrads who graduate within six years) at public universities is 68.6%, While that at private universities is 81.3%. (a) The child of a friend attended a national research university, but didn't graduate Within six years. What is the probability that they attended a private university? (b) How do you account for the fact that less than one-fourth of students attend private universities when 40% of national research universities are private