2. A lie detection machine displays a positive signal (indicating that it is not lying) on the 3% of the cases when the individual lies and in 95% of the cases when the individual tells the truth. If two individuals are arrested, and in fact only one of them is guilty of an infringement:

a) What is the probability that the machine detects that both individuals are lying? 

b) What is the probability that the machine detects that one of the two is lying? 

c) What is the probability that the machine detects that at least one of the two is lying?