During the first 2 months of 2005, there were 1,140,256 commercial airline flights in and out of U.S. airports. Of these, 74.35% were ontime arrivals and 18.96% were late departures.

Three hundred flights are to be randomly identified from all flights and their flight logs examined closely. What is the probability of the following:

a. More than 80% of the sample will be an on-time arrival.

b. Less than 15% of the sample will have departed late.