A professor is always in her ofce for ofce hours. Students arrive according to a Poisson process of rate 3/ hr. If a student arrives, and the professor is already talking to another student, the student leaves without talking to the professor and never comes back. Otherwise, they talk with the professor for a random number of hours that is uniformly distributed on [0,1]. (3.) (5 pts) In the long run, how many students per hour does the professor talk to? (b) (5 pts) What is the long run fraction of students who leave without talking to the professor