Problem 3-13 (Algorithmic)
Military radar and missile detection systems are designed to
warn a country of enemy attacks. A reliability question deals with
the ability of the detection system to identify an attack and issue
the warning. Assume that a particular detection system has a 0.91
probability of detecting a missile attack. Answer the following
questions using the binomial probability distribution:
- What is the probability that one detection system will detect
an attack? If required, round your answer to two decimal
places.
- 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? If required, round your answer
to two decimal places.
- If 3 systems are installed, what is the probability that at
least one of the systems will detect the attack? If required, round
your answer to four decimal places.
- Would you recommend that multiple detection systems be
operated?
Yes
Explain.
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