An airplane manufacturer makes two types of airplanes: twin-engined (denotedA2) and four-engined (denoted A4). The manufacturers claim that the planes can fly if at least half of the engines on the plane are working; that is the A2 needs at least 1 engine and the A4 needs at least 2 engines working. Your task is to determine the which of the two planes is most likely to crash. a) Write a function/script that simulates a large number of flights of both airplane models. The input into the script should be the probability that an engine fails (0-1). The script should simulate 10000 flights. Note that you do not need to simulate the actual plane or plane flight; you just need to model engine failure. b) Assume that the engines are very bad. Assume that the probability for an engine failure is p = 0.5. Calculate the probability that the A2 and the A4 crash. Do the results agree with your intuition? c) Repeat b with a probability of engine failure = 0.1. d) Repeat b with a proba