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 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?

(to 2 decimals)

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?

(to 4 decimals)

c. If three systems are installed, what is the probability that at least one of the systems will detect the attack?

(to 4 decimals)

d. Would you recommend that multiple detection systems be used?