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 0.85 probability of detecting a missile attack. Answer the following questions using the Binomial probability distribution.   A. If 3 systems are installed, what is the probability that at least 1 of the systems will detect the attack?   B. Would you recommend that multiple detection systems be operated? Explain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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 0.85 probability of detecting a missile attack. Answer the following questions using the Binomial probability distribution.

 

A. If 3 systems are installed, what is the probability that at least 1 of the systems will detect the attack?

 

B. Would you recommend that multiple detection systems be operated? Explain.

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