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1. In the test-firing of a missile, there are some events that are known to cause the missile to fail to reach its target. These events are listed below, together with their approximate probabilities of occurrence during a flight: Event Probability (A1) Cloud reflection (A2) Precipitation (A3) Target evasion (A4) Electronic countermeasure 0.0001 0.005 0.002 0.04 The probabilities of failure if these events occur are: F F G) = 0.3; P| G) = 0.01; P | PG) = 0.005; P = 0.0002 Use Bayes' theorem (Eq. 2.10) to calculate the probability of each of these events being the cause in the event of a missile failing to reach its target. Bayes' theorem: P(B|A) * P(A) P(A|B) = P(B)

1. In the test-firing of a missile, there are some events that are known to cause the missile to fail to reach its target. These events are listed below, together with their approximate probabilities of occurrence during a flight: Event Probability (A1) Cloud reflection (A2) Precipitation (A3) Target evasion (A4) Electronic countermeasure 0.0001 0.005 0.002 0.04 The probabilities of failure if these events occur are: F F G) = 0.3; P| G) = 0.01; P | PG) = 0.005; P = 0.0002 Use Bayes' theorem (Eq. 2.10) to calculate the probability of each of these events being the cause in the event of a missile failing to reach its target. Bayes' theorem: P(B|A) * P(A) P(A|B) = P(B)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1. In the test-firing of a missile, there are some events that are known to cause the missile to fail to reach its target. These events are listed below, together with their approximate probabilities of occurrence during a flight: Event Probability (A1) Cloud reflection (A2) Precipitation (A3) Target evasion (A4) Electronic countermeasure 0.0001 0.005 0.002 0.04 The probabilities of failure if these events occur are: F F G) = 0.3; P| G) = 0.01; P | 이-)= 0.005; P = 0.0002 Use Bayes' theorem (Eq. 2.10) to calculate the probability of each of these events being the cause in the event of a missile failing to reach its target. Bayes' theorem: P(B|A) * P(A) P(A|B) = P(B)
Transcribed Image Text:1. In the test-firing of a missile, there are some events that are known to cause the missile to fail to reach its target. These events are listed below, together with their approximate probabilities of occurrence during a flight: Event Probability (A1) Cloud reflection (A2) Precipitation (A3) Target evasion (A4) Electronic countermeasure 0.0001 0.005 0.002 0.04 The probabilities of failure if these events occur are: F F G) = 0.3; P| G) = 0.01; P | 이-)= 0.005; P = 0.0002 Use Bayes' theorem (Eq. 2.10) to calculate the probability of each of these events being the cause in the event of a missile failing to reach its target. Bayes' theorem: P(B|A) * P(A) P(A|B) = P(B)
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