During the month of January 2017, a total of 29,544 flights took off from the Atlanta International Airport. Of all these flights, 23.9% had a departure delay of more than 10 minutes. If we were to randomly sample just 100 of these flights:

a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100?

b. What is the approximate shape of the sampling distribution of the sample proportion of flights delayed by more than 10 minutes in samples of size 100? Why?

c. Would it be unusual for us to observe a sample proportion of 40% or higher of delayed flights? Why or why not?

d. Of all the flights scheduled to leave the airport in January 2017, 2% got canceled. If we were to randomly sample just 100 of all flights scheduled to leave the airport, would the sampling distribution of the sample proportion of canceled flights have an approximate normal shape? Why or why not?