In Chapter 6, we learned that the proportion of passengers who miss a flight for which they have a reservation is 0.0995.

(a)    Suppose a flight has 290 reservations. What is the probability that 25 or more passengers will miss the flight?

(b)    Suppose a flight has 320 reservations, but only 300 seats on the plane. What is the probability that 300 or fewer passengers show up for the flight?

(c)    Suppose a popular flight has 300 seats and 300 reservations. Because this flight is popular, the proportion of passengers with a reservation who miss the flight is only 0.04. You are booked on a later flight and put yourself on the stand-by list. There are 14 passenger names ahead of you. What is the probability you get on this flight?