A recent survey by the American Cancer Society has shown that the probability that someone is a smoker is P(S) = 0.29. It has also determined that the probability that someone has lung cancer, given that he or she is a smoker is P(LC|S) = 0.552. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S ∩ LC)? (7 points)
a) 0.04
b) 0.14
c) 0.53
d) 0.16
