Question

5. Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the first airplane is 15 km behind the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 510 and standard deviation 14 and the second plane's speed is also normally distributed with mean and standard deviation 498 and 14, respectively. (a) [2] What is the probability that after 1 hour of flying, the first plane has not caught up to the second plane? (b) [2] Determine the probability that the planes are apart by at least 10 km after one hour of flying. (c) [2] What is the probability that after 2 hours of flying, the first plane has caught up to the second plane? (d) [2] Determine the probability that the planes are apart by at most 10 km after 2 hours of flying

Answer 1

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