Assume that the proportion of people in the U.S. population who live past their 90 th birthday is 0.035 . I would like to examine the number of people who live past their 90 th birthday in a given Pitt class. Suppose that students in a class are random, independent of each other, and that the rate remains unchanged over the ye a. Let X be the number of people in a given class who live past their 90 th birthday. What is the distribution of X ?