Radar detection. If an aircraft is present in a certain area, a radar correctly registers its presence with probability 0.99. If it is not present, the radar falsely registers an aircraft presence with probability 0.10. We assume that an aircraft is present with probability 0.05. a. What is the probability of false alarm (a false indication of aircraft presence), and the probability of missed detection (nothing registers, even though an aircraft is present)? b. Let A ={an aircraft is present}, B ={the radar registers an aircraft presence}. We are given that P(A) = 0.05, P(B |A) = 0.99, P(B |Ac ) = 0.1. What is the probability of aircraft present with condition radar registers
Radar detection. If an aircraft is present in a certain area, a radar correctly registers its presence with probability 0.99. If it is not present, the radar falsely registers an aircraft presence with probability 0.10. We assume that an aircraft is present with probability 0.05. a. What is the probability of false alarm (a false indication of aircraft presence), and the probability of missed detection (nothing registers, even though an aircraft is present)? b. Let A ={an aircraft is present}, B ={the radar registers an aircraft presence}. We are given that P(A) = 0.05, P(B |A) = 0.99, P(B |Ac ) = 0.1. What is the probability of aircraft present with condition radar registers
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 33E
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Question
Radar detection. If an aircraft is present in a certain area, a radar correctly registers its
presence with
probability 0.10. We assume that an aircraft is present with probability 0.05.
a. What is the probability of false alarm (a false indication of aircraft presence), and the probability
of missed detection (nothing registers, even though an aircraft is present)?
b. Let A ={an aircraft is present}, B ={the radar registers an aircraft presence}. We are given that
P(A) = 0.05, P(B |A) = 0.99, P(B |Ac
) = 0.1. What is the probability of aircraft present with condition
radar registers
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