Final answer:
With 2,500 arrivals and departures at the busiest airport per day, there are approximately 104.17 airplanes arriving and departing per hour. Calculations for the precise probabilities of exact or at most 100 arrivals and departures in one hour cannot be accurately provided without knowledge of the distribution of these events.
Step-by-step explanation:
Calculating Airport Traffic and Probabilities
To determine how many airplanes arrive and depart the airport per hour, we divide the daily average by the number of hours in a day. Given the research on the busiest airport in the world, there are 2,500 arrivals and departures each day. Hence,
2,500 arrivals/departures ÷ 24 hours = approximately 104.17 airplanes per hour.
Computing the probability of exactly 100 arrivals and departures in one hour would require knowledge of the distribution of arrivals and departures, which is not provided in the details. Normally, one might employ a Poisson distribution or a similar statistical method to model these events, but without the necessary parameters or additional context, such as the variance or the exact distribution pattern, this calculation cannot be completed accurately.
Similarly, to calculate the probability of at most 100 arrivals and departures in one hour, proper context or data regarding the distribution is required. As this is not available in the information provided, a factual and precise answer cannot be given without making assumptions that might not be valid.