A radar system is designed such that the probability of detecting the presence of an aircraft in its range is 98%. However, if no aircraft is present in its range it still reports (falsely) that an aircraft is present with a probability of 5%. At any time, the probability that an aircraft is present within the range of the radar is 7%. The probability that an aircraft is present in the range of the radar given that no aircraft is detected is:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A radar system is designed such that the probability of detecting the presence of an
aircraft in its range is 98%. However, if no aircraft is present in its range it still reports
(falsely) that an aircraft is present with a probability of 5%. At any time, the probability
that an aircraft is present within the range of the radar is 7%.
The probability that an aircraft is present in the range of the radar given that no aircraft
is detected is:
0.4039
0.00158
O None of other options
O 0.596
Transcribed Image Text:A radar system is designed such that the probability of detecting the presence of an aircraft in its range is 98%. However, if no aircraft is present in its range it still reports (falsely) that an aircraft is present with a probability of 5%. At any time, the probability that an aircraft is present within the range of the radar is 7%. The probability that an aircraft is present in the range of the radar given that no aircraft is detected is: 0.4039 0.00158 O None of other options O 0.596
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