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 0.90 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?
(d) Would you recommend that multiple detection systems be
used? Explain.
Multiple detection systems ---Select--- (should)?
(should not)? be used because P(at least 1) for
multiple systems ---Select--- (is)? (is not)? very
close to 1.