. (30) This problem is based loosely on the March 11, 2019 grounding of the Boeing 737 MAX passenger airliner. The groundings came shortly after the second fatal crash of a 737 MAX on March 10, 2019. In both accidents, attention focused on the 737 MAX's newly introduced Maneuvering Characteristics Augmentation System (MCAS), which can automatically lower the aircraft nose when an angle-of-attack (AOA) sensor indicates that a stall may be imminent. We want to compare the MCAS that relies on input from a single AOA sensor to the competing Airbus system in which three AOA sensors are used to provide input to the flight computer. a) Draw a fault tree for the system in which a single AOA sensor provides input to the flight computer. Consider the top event to be the computer providing faulty control of the airplane. b) Calculate the failure rate in failures/year and the mean time between failures in years for the system of part (a) under the assumption that the inspection interval is 0.9 years. c) Draw a fault tree for the system in which three AOA sensors provide input to the flight computer. Consider the top event to be the computer providing faulty control of the airplane. In this system, the computer uses agreement of any two sensors to determine whether the third sensor is giving faulty data. In this case, two sensor failures suffice to cause failure of the combined sensor input to the computer. d) Calculate the failure rate in failures/year and the mean time between failures in years for the system of part (c) under the assumption that the inspection interval is 0.9 years