all aircrall is pi area, fadaf rectly registeIs its prese with probability 0.99. If it is not present, the radar falsely registers an aircraft presence with probabilit 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)? b. What is the probability of missed detection (nothing registers, even though an aircraft is present)? What is the probability of an aircraft being present given that the radar registers an aircraft presence? с.

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Chapter1: Combinatorial Analysis
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Question 7 (MAT271E): If an aircraft is present in a certain area, 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)?
b. What is the probability of missed detection (nothing registers, even though an aircraft is
present)?
c. What is the probability of an aircraft being present given that the radar registers an aircraft
presence?
(Not: You can define the events such as; A = {an aircraft is present}, B = {the radar registers an aircraft
presence}, the complement of this event is indicated by same capital letter with a dash over it, i.e. A, B)
Transcribed Image Text:Question 7 (MAT271E): If an aircraft is present in a certain area, 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)? b. What is the probability of missed detection (nothing registers, even though an aircraft is present)? c. What is the probability of an aircraft being present given that the radar registers an aircraft presence? (Not: You can define the events such as; A = {an aircraft is present}, B = {the radar registers an aircraft presence}, the complement of this event is indicated by same capital letter with a dash over it, i.e. A, B)
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