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)

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.39P
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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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