Problem 2 (40%): Changes in airport procedures require intensive planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircras arrive at a certain airport, according to a Poisson process, at the rate of ti per hour. a] What is the probability that the next small aircraft arrives within the next ve 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? e} What is the probability that exactly four airerafts arrive in the next hour? 1:!) What is the probability that between 7'00 to 740 aircras arrive within the next ve days? [I-Iint: Use Normal Approximation]