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

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Chapter8: Sequences, Series,and Probability
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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

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