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
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
The system shown in the figure below is made up of 4 components (A.B.C.D)
Q 30
Consider the system shown in the accompanying figure. The
reliability of each component is provided in the figure. Assuming
that the components operate independently, calculate the system
reliability.
9.30 Consider the system shown in the accompa- nying figure. The reliability of each component is provided in the figure. Assuming that the compo- nents operate independently, calculate the system reliability. 0.995 0.980 0.995 0.950 0.999
9.30 Consider the system shown in the accompa- nying figure. The reliability of each...
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4-23 The guidance system design of a satellite places several components in parallel. The system will function as long as at least one of the components is operational. In a particular satellite, 4 such components are placed in parallel. If the probability of a component operating successfully is 0.9, what is the probability of the system functioning? What is the probability of the system failing? Assume that the components operate independently of each other.
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