Aircraft is in certain area, radar correctly registers its presence with prob. of 0.95. If it is not present, radar falsely registers its presence with prob. of 0.03. We assume that aircraft is present with prob of 0.1.

So P(aircraft is present)= 0.1 and P(radar registers an aircraft) = 0.95 correct??

Because I cannot figure out how to start on the questions below..

Probability of false alarm

Probability of missed detection

Probability that an aircraft is present if not registered (conditional probability right?)

guidance is appreciated!!