The system shown in the figure below is made up of 4 components (A.B.C.D)
The system shown in the figure below is made up of 4 components (A.B.C.D) that operate independently of each other. It each component has the probability of working equals 0.91.
Pride probability that the system is working
Homework Answers
Components A and B are in series, each probabilty of working = 0.91, the probabilty of working of chain AB = 0.91 X 0.91 = 0.8281
Components C and D are in series, each probabilty of working = 0.91, the probabilty of working of chain CD = 0.91 X 0.91 = 0.8281
Chains AR and CD are in parallel, each probabilty of working = 0.8281, the probabilty of working of the system =
1 - (1- 0.8281)2 = 1 - 0.17192 = 1 - 0.02955 = 0.97045
So,
Answer is:
0.97045
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The system shown in the figure below is made up of 4 components (A.B.C.D)
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