A system has six components connected as shown in the following diagram: Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is the probability that the system fails?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
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A system has six components connected as shown in the following
diagram:
B
A
D
Assume A, B, C, D, E, and F function independently. If the probabilities that A,
B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is
the probability that the system fails?
Transcribed Image Text:A system has six components connected as shown in the following diagram: B A D Assume A, B, C, D, E, and F function independently. If the probabilities that A, B, C, D, E, and F function are .95, .90, .97, .94, .92, and .93 respectively, what is the probability that the system fails?
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