Here is a question that I want to understand how to solve it.
At a university, a lecture hall holds $n = 400$ students. Realizing that some students invariably drop a class, the registrar overbooks the lecture hall for a particular class, allowing $m = 402$ students to register. Suppose that the probability any particular student drops the class is $p = 0.01$.
What are the exact and approximate distributions of $X$, the number of students dropping the class?