(Solved): 2. Air America is considering a new policy of booking as many as 500 persons on an airplane that ca ...

2. Air America is considering a new policy of booking as many as 500 persons on an airplane that can seat only 435 . Past studies have revealed that only $85\%$ of the booked passengers actually arrive for the flight. Suppose Air America books 500 persons. (1)What is the probability that at most 435 persons actually arrive for the flight? (2)What is the probability that at least 436 persons actually arrive for the flight?