If an aircraft is present in a certain area, a radar correctly registers its pre

Question

If an aircraft is present in a certain area, a radar correctly registers its presence with
probability .96. If it is not present, the radar falsely registers its presence with
probability .03. We assume that aircraft is present with probability .08.
Use Notation:
A = an aircraft is present
B = the radar registers an aircraft
a) Find the probability of false alarm.
b) Find the probability of missed detection.
c) Find the probability that an aircraft is present if it is not registered.
d) Find the probability that an aircraft is not present if it is registered.

Explanation / Answer

0.9005 0.0897

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