An aircraft can seat 220 passengers, and each of the passengers booked on the Might has a probability of 0.9 of actually arriving at the gate to board the plane, independent of the other passengers.
(a) Suppose the airline books 235 passengers on the flight. What is the probability that there will be insufficient seats to accommodate all of the passengers who wish to board the plane?
(b) If the airline wants to be 75% confident that there will be no more than 220 passengers who wish to board the plane, how many passengers can be booked on the flight?