Military radar and missile detection systems are designed to
warn a country of an enemy attack. A reliability question is
whether a detection system will be able to identify an attack and
issue a warning. Assume that a particular detection system has a
0.80 probability of detecting a missile attack. Use the binomial
probability distribution to answer the following questions.
(a) What is the probability that a single detection system will
detect an attack?
(b) If two detection systems are installed in the same area and
operate independently, what is the probability that at least one of
the systems will detect the attack?
(c) If three systems are installed, what is the probability that
at least one of the systems will detect the attack?