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 0.90 probability of detecting a missile attack. Answer the following questions using the binomial probability distribution: a. What is the probability that one detection system will detect an attack? If required, round your answer to two decimal places. 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? If required, round your answer to two decimal places. c. If three systems are installed, what is the probability that at least one of the systems will detect the attack? If required, round your answer to three decimal places. d. Would you recommend that multiple detection systems be operated?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 0.90
a. What is the probability that one detection system will detect an attack? If required, round your answer to two decimal places.
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? If required, round your answer to two decimal places.
c. If three systems are installed, what is the probability that at least one of the systems will detect the attack? If required, round your answer to three decimal places.
d. Would you recommend that multiple detection systems be operated?
Explain.
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