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 a 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 to 10:25?

c. what is the probability that between 700 to 740 aircrafts arrive within the next five days? use normal approximation