Delays at an airport depend on a number of factors: Morning (AM) flights are always on time if there is good weather. However, when there is bad weather half of the flights are delayed. For the rest of the day (PM), chances of delay during good and bad weather are 0.3 and 0.9 respectively. 30% of flights take off during AM hours, while 70% take off during PM hours. Mornings have 20% chance of bad weather, while only 10% of PM hours have bad weather. Assume only two kinds of weather (good and bad). Calculate the following: a. What fraction of the flights at this airport will be delayed? b. If a flight is delayed, what is the probability that it is caused by bad weather? c. What fraction of morning flights will be delayed?