A system consists of two branches in parallel, each branch having two compo- nents. The probabilities of successful operation of components A, B, C, and D are 0.9, 0.8, 0.7, and 0.6, as shown above. If a component fails, the output from its branch is zero. If only one branch operates, the output is 50%. Of course, if both branches operate, the output is 100%. a) Find the probability of zero output. b) Find the expected percentage output.
A system consists of two branches in parallel, each branch having two compo- nents. The probabilities of successful operation of components A, B, C, and D are 0.9, 0.8, 0.7, and 0.6, as shown above. If a component fails, the output from its branch is zero. If only one branch operates, the output is 50%. Of course, if both branches operate, the output is 100%. a) Find the probability of zero output. b) Find the expected percentage output.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 78CR
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Transcribed Image Text:Probabilities:
0.9
0.8
A
B
Input
Output
D
Probabilities:
0.7
0.6
Figure 5.4: Series-Parallel System
A system consists of two branches in parallel, each branch having two compo-
nents. The probabilities of successful operation of components A, B, C, and D
are 0.9, 0.8, 0.7, and 0.6, as shown above. If a component fails, the output from
its branch is zero. If only one branch operates, the output is 50%. Of course, if
both branches operate, the output is 100%.
a) Find the probability of zero output.
b) Find the expected percentage output.
9.
Expert Solution
Step 1
The given information
A = 0.9
B = 0.8
C = 0.7
D = 0.6
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