Question: College students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania ranks first with 71.1% of its population being made up of college students. Let 150 people from State College, PA be randomly selected. Find the probability that in a random sample of 150 State College residents, more than 50 are college students. (Verify that the normal distribution can be used to approximate the binomial distribution in this problem).