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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 .90 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? 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? c. If three systems are installed, what is the probability that at least one of the systems will detect the attack? d. Would you recommend that multiple detection systems be used? Explain.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
BuyFind

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
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Chapter 5.5, Problem 38E
Textbook Problem
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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 .90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions.

  1. a. What is the probability that a single detection system will detect an attack?
  2. 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?
  3. c. If three systems are installed, what is the probability that at least one of the systems will detect the attack?
  4. d. Would you recommend that multiple detection systems be used? Explain.

Expert Solution

a.

To determine

Find the probability that a single detection system will detect an attack.

Explanation of Solution

Calculation:

A reliability question is whether a detection system can identify an attack and issue a warning. The probability of detecting a missile attack by a particular detection system is 0.90. The binomial probability distribution is used here...

Expert Solution

b.

To determine

Find the probability that at least one of the systems will detect the attack, if two detection systems are installed in the same area that operate independently.

Expert Solution

c.

To determine

Find the probability that at least one of the systems will detect the attack, if three detection systems are installed.

Expert Solution

d.

To determine

Explain whether multiple detection systems recommend can be used or not.

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Chapter 5 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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