The air control informs the pilot of an aircraft about the altitude of the centre of the air corridor of height 100 metres where the aircraft should fly. The deviation, in metres, of the altitude of the aircraft from the given altitude is normally distributed with mean 8 metres, and standard deviation 40 metres. Find the probability that the aircraft flies in the air corridor. Find the probability that the aircraft flies above the air corridor.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The air control informs the pilot of an aircraft
about the altitude of the centre of the air corridor
of height 100 metres where the aircraft should
fly. The deviation, in metres, of the altitude of the
aircraft from the given altitude is normally
distributed with mean 8 metres, and standard
deviation 40 metres.
Find the probability that the aircraft flies in the air
corridor.
Find the probability that the aircraft flies above
the air corridor.
Transcribed Image Text:The air control informs the pilot of an aircraft about the altitude of the centre of the air corridor of height 100 metres where the aircraft should fly. The deviation, in metres, of the altitude of the aircraft from the given altitude is normally distributed with mean 8 metres, and standard deviation 40 metres. Find the probability that the aircraft flies in the air corridor. Find the probability that the aircraft flies above the air corridor.
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