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 0.82 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.fill in the blank 1If 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.fill in the blank 2If 4 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.fill in the blank 3Would you recommend that multiple detection systems be operated? Explain.

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Answered: Military radar and missile detection…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...

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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 0.82 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.

fill in the blank 1
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.

fill in the blank 2
If 4 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.

fill in the blank 3
Would you recommend that multiple detection systems be operated?

Explain.