Police Department reaches out to you to help them calibrate their breath analyzer used to test whether drivers exceed the legal limit set for blood alcohol content. Let A be the event \breath analyzer indicates that the driver's blood alcohol content exceeds the legal limit" and B the event \driver's blood alcohol content exceeds legal limit". The breath analyzer can be calibrated by choosing 0 < p < 1 where p = P(A j B). Due to technical constraints, P(A j B) = P(Ac j Bc). On a typical Saturday night about 3% of the drivers are known to exceed the legal limit. (b) Determine P(Bc | A) if p = 0.9. (c) What value of p should the police use so that P(B | A) = 0.9?