The traffic volume in the year 2018 at an airport (number oftake-offs and landings) during peak hour of each day is a describedas a log-normal random variable with a mean of 200 planes and astandard deviation of 60 planes. a. If the present runway capacity(for landings and take-offs) is 350 planes per hour, what is thecurrent probability of congestion? [2 marks] b. If the mean trafficvolume is increasing linearly at the annual rate of 10% of thevolume in 2018 with the coefficient of variation remaining constantwhat would be the probability of congestion at the airport in year2028? [2 marks] c. Assuming the same projected growth rate oftraffic volume as part (b), and that the maximum acceptableprobability of congestion is 10% what year will the airport need toincrease their runway capacity? [4 marks] d. Assuming the sameprojected growth rate of traffic volume as part (b) when theairport upgrades their runway capacity in part (c) what new runawaycapacity will they need to ensure the probability of congestiondoes not exceed the max acceptable probability of congestion of 10%until year 2038? [2 marks]
