. Suppose the number of angered looks your professor gets from students during the 2 hour final exam (and afterward) is modeled by a Poisson process

. Suppose the number of angered looks your professor gets from students during the 2 hour final exam (and afterward) is modeled by a Poisson process (Nt)t≥0 with parameter λ = 6 (angered looks / hour) where t is in hours.

(a) What is the probability that during the last 30 minutes of the final exam, your professor gets 3 or more angered looks?

(b) What is the probability that your professor receives exactly 8 angered looks during the first hour of this final exam and only 1 angered look for the last 30 minutes of this final exam?