Write an application that displays a series of at least eight student ID numbers (that you have stored in an array) and asks the user to enter a test letter grade for the student. Create an Exception class named GradeException that contains a static public array of valid grade letters (A, B, C, D, F, and I) that you can use to determine whether a grade entered from the application is valid. In your application, throw a GradeException if the user does not enter a valid letter grade. Catch the GradeException, and then display an appropriate message. In addition, store an I (for Incomplete) for any student for whom an exception is caught. At the end of the application, display all the student IDs and grades. Save the files as GradeException. java and TestGrade. java.

In any one-minute interval, the number of requests for a popular web page is a poisson random variable with expected value 240 requests. (a) a web server has a capacity of requests per minute. if the number of requests in a one-minute interval is greater than the server is overloaded. use the central limit theorem to estimate the smallest value of for which the probability of overload is less than 0.035. note that your answer must be an integer. also, since this is a discrete random variable, don't forget to use "continuity correction". = 268 (b) now assume that the server's capacity in any one-second interval is ⌊/60⌋, where ⌊⌋ is the largest integer ≤ (this is called the floor function.) for the value of derived in part (a), what is the probability of overload in a one-second interval? this time, don't approximate via the clt, but compute the probability exactly.