Problem 2 (40%): Changes in airport procedures require intensive planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. a What is the probability that the next small aircraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? C) What is the probability that exactly four aircrafts arrive in the next hour? d) What is the probability that between 700 to 740 aircrafts arrive within the next five days? [Hint: Use Normal Approximation] dirty