In a study of high school graduation rates, Wisconsin had the highest graduation rate among all the states, at 90%. This compares to graduation rates of 75% for Texas high schools and 70% for Alabama high schools. Assume these rates hold and that a random sample of 25 entering high school freshmen will be selected and tracked. How likely is it that
a. At least five of the freshmen will fail to graduate if the sample is taken in Wisconsin? In Alabama?
b. At least 24 of the freshmen will graduate if the sample is taken in Texas? In Wisconsin?