1.(3 points) Suppose that during the blizzard on Saturday, January 23, 2016, a total of 500 commercial airliners were stranded at the tarmac of New York City's JFK airport. In order to be allowed to take off after the blizzard is over, each of these airliners must have less than 0.30 inches of ice on their wings.

b.(1 points) LetXdenote the number of aircraft that are allowed to take off after the blizzard (i.e., the number of aircraft that have less than 0.30 inches of ice on their wings). What kind of distribution doesXfollow? Be sure to define all parameters of this distribution.

c.(1 point) Calculate the estimated probability that 15 or more of these aircraft will be allowed to take off after the blizzard is over. Please feel free to use software to answer this, but please be sure to show your work.