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Question 28 The probability of successfully landing a plane using a flight simulator is given as 0.81. 12 randomly and independently chosen student pilots are asked to try to fly the plane using the simulator. Round your answers to three decimal places (e.g. 98.765). (a) What is the probability that all the student pilots successfully land the plane using the simulator? (b) What is the probability that none of the student pilots successfully lands the plane using the simulator? (c) What is the probability that exactly 11 of the student pilots successfully land the plane using the simulator?

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Answer Date: 28/01/2019 a) The probability is that allthe student pilots successfully land the plane using simulatoris, ー12 C12 x (0.81)12 + (1-0.81)12-12 0.080 The probability is that all the student pilots successfully land the plane using simulatoris 0.080 b) The probability is that none of the student pilots successfully land the plane using simulator is, -12 c, x (0.81) + (1-0.81)12-0 0.000The probability is that none of the student pilots successfully land the plane using simulator is 0.000 c) The probability is that exactly 11 of the student pilots successfully land the plane using simulator is -12 Gi x (0.81)ı + (1-0.81)2-11 0.225 The probability is that exactly 11 of the student pilots successfully land the plane using simulator is [0.225

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