Question

Southwest has an average of 64 departures per airport, per day.
a) True
b) False

Answer 1

The statement about Southwest having an average of 64 departures per airport per day cannot be verified with the provided data. There are about 104.17 aircraft movements per hour at the world's busiest airport. Without further data on event distribution, probabilities of specific numbers of flights cannot be determined.

Step-by-step explanation:

Problem Solving

To solve the initial problem regarding the average number of departures per airport per day, we reference the provided average of 64 departures per airport, per day. Since the question does not provide sufficient data related to Southwest or any specific airport statistics, we cannot conclusively answer whether it is true or false without relevant data specific to Southwest Airlines. However, looking at the additional provided information:

1. To calculate the number of airplanes arriving and departing per hour, we take the total number of arrivals and departures (2,500) and divide by the number of hours in a day (24), which gives us approximately 104.17 aircraft movements per hour.
2. The probability of exactly 100 arrivals and departures in one hour would require further information regarding the distribution of these events which is not provided.
3. Similarly, calculating the probability of at most 100 arrivals and departures would also need additional data on the distribution of the events.

Without additional information on the distribution of arrivals and departures, it is not possible to calculate the exact probability for parts (b) and (c).