A Random Person Is Selected from a Large Population in Which

Multiple Choice

A random person is selected from a large population in which 5% are users of a dangerous illegal drug.A drug test that correctly identifies users 99% of the times and nonusers 95% of the time is administered to this individual and gives a positive result.What is the probability that this individual is actually a user of this drug?

A) 0.99
B) 0.94
C) 0.61
D) 0.53
E) 0.51