4. An electrical system consists of identical components that are operational with probability p independently of other components. The components are connected in three subsystems, as shown in the Figure 1. The system is operational if there is a path that starts at point A, ends at point B, and consists of operational components. This is the same as requiring that all three subsystems are operational. What are the probabilities that the three subsystems, as well as the entire system, are operational? В Figure 1: A system of identical components that consists of the three subsystems 1, 2, and 3. The system is operational if there is a path that starts at point A, ends at point B, and consists of operational components.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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4. An electrical system consists of identical components that are operational with probability p
independently of other components. The components are connected in three subsystems, as
shown in the Figure 1. The system is operational if there is a path that starts at point A,
ends at point B, and consists of operational components. This is the same as requiring that
all three subsystems are operational. What are the probabilities that the three subsystems,
as well as the entire system, are operational?
В
Figure 1: A system of identical components that consists of the three subsystems 1, 2, and 3. The system is
operational if there is a path that starts at point A, ends at point B, and consists of operational components.
Transcribed Image Text:4. An electrical system consists of identical components that are operational with probability p independently of other components. The components are connected in three subsystems, as shown in the Figure 1. The system is operational if there is a path that starts at point A, ends at point B, and consists of operational components. This is the same as requiring that all three subsystems are operational. What are the probabilities that the three subsystems, as well as the entire system, are operational? В Figure 1: A system of identical components that consists of the three subsystems 1, 2, and 3. The system is operational if there is a path that starts at point A, ends at point B, and consists of operational components.
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