A regional airline implements a standard sales practice of "overbooking" their flights, whereby they sell more tickets for a flight then there are seats available for passengers. Their rationale for this practice is that they want to fill all of the seats on their planes for maximum profitability, and there is a positive probability that a customer who has been sold a ticket will not use their ticket on the day of the flight, so that even if there are more tickets sold than seats available, there may be sufficient seats available to accommodate the customers who actually use their tickets and take a flight on any given day. Assuming that the event that a customer actually uses their ticket is .995, the airline's planes have 100 seats, and the events that customers use their tickets on the day of the flight are jointly independent, answer the following questions relating to their overbooking practice.

a. If the airline does not overbook, and only sells 100 tickets for each of their flights, what is the probability that a given flight will fly full ?

b. Using the sales strategy in (a), what is the probability that one or more seats for a given flight will be empty?

c. For the sales strategy in (a), if the airline has 10 flights per day from the Seattle-Tacoma airport, what is the probability that all of the flights will fly full?

d. For the sales strategy in (a), what is the probability that there will be one or more empty seats among the 1,000 seats available on the airline's 10 flights from the Seattle-Tacoma airport on a given day?