According to the National Constitution Center, 18% of Americans trust organized religion.
(a) If an American is randomly selected, what is the probability he or she trusts organized religion?
(b) If an American is randomly selected, what is the probability he or she does not trust organized religion?
(c) In a random sample of three Americans, all three indicated that they trust organized religion. Is this result surprising?
(d) If three Americans are randomly selected, what is the probability that at least one does not trust organized religion?
(e) Would it be surprising if a random sample of five Americans resulted in none indicating they trust organized religion?
(f) If five Americans are randomly selected, what is the probability that at least one trusts organized religion?