The number of students enrolling a professor's class is a Poisson random number with the mean of 100. The professor decided to teach two sections if the enrollment number is equal to or more than 120. The professor has been teaching the class for 10 semesters. Assuming the Poisson process is iid, determine the following:

(a) The probability of two sections for exactly two semesters

(b) The expected number of sections for the ten semesters