Consider the screening procedure by TSA at an airport. LetRdenote the event that a "high risk" passenger (R) enters through the security line at an airport to board a flight. Let I denote the event that a passenger is identified from the TSA screening as high risk and detained

a) In words, interpret tP(R|I^c) and P(R^c|I). Both are mistakes of the screening process, which is more serious?

(b) Now suppose that due to tests and surveys TSA estimates P(R) =.001 and P(I|R^c) =.05 and P(I|R) =.99 . Find P (R|I) and P(R|I^c).