Consider a tutoring session with 3 students. Each student, independently of all other students, asks a question after an exponentially distributed amount of time with mean 1/4 hours. Each student will not ask another question if his/her own question has not been answered yet. There is one tutor available. When there is at least one unanswered question, the tutor tries to answer the question that was asked first. The tutor takes an exponentially distributed amount of time to answer a question; the mean of this time is 0.5 hour. Let N(t) denote the number of unanswered questions at time t ≥ 0.1. Model N(t) as a birth-death process by drawing its rate diagram.2. Compute the steady-state distribution of this birth-death process.