1. 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 .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.