An airline has two flights traveling from CVG to ORD on a busy Friday evening. Flight A is scheduled to leave at 6:30 p.m. The airplane for flight A has a capacity of 96 passengers. The second flight, Flight B, leaves one hour later and has a capacity of only 68 passengers. Based on historical data, the airline knows that the probability that a passenger on Flight A will be a no-show is 0.03 and the probability that a passenger will be a no-show on Flight B is 0.02. For this exercise, we will assume that passenger no-shows are independent events. Round all answers to four decimal places. 6. If the airline chooses not to oversell flight A and sells exactly 96 tickets, what is the probability that it will have a full flight (i.e. all 96 passengers show up)? 7. If the airline oversells flight A with 99 tickets sold, what is the probability that all passengers that show up will have a seat on the flight (i.e. 3 or more no-shows)? 8. If the airline oversells flight B with 70 tickets sold, what is the probability that the flight will have exactly 68 customers show up? 9. If the airline oversells flight B with 72 tickets, what is the probability that all passengers that show up will have a seat on the flight? The airline decides to oversell Flight A with 100 tickets sold, but only sells Flight B to capacity with 68 tickets sold with the idea that in the event a passenger from Flight A does not have a seat that they can easily be moved to Flight B with minimal hassle and compensation. 10. What is the probability that all customers who show up for Flight A will either have a seat on Flight A or Flight B (due to no-shows on Flight B)? 11. What are the lines of R code that you used to answer this question?