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A piece of electronic equipment used for aviation has three elements connected in series, or sequence
A piece of electronic equipment used for aviation has three elements connected in series, or sequence. The reliability of each of the three elements is as follows:
Element A: 0.92 Element B: 0.94 Element C: 0.91
a) Draw how these three elements are connected.
b) What is the reliability of this system?
c) If each of the elements is provided with a standby (connected in parallel) element of equal reliability, by how much is the overall reliability improved?
Expert Solution
A---------B----------C
0.92 0.94 0.91
b) What is the reliability of this system?
0.92 * 0.94 * 0.91 = 0.786968
c) If each of the elements is provided with a standby (connected in parallel) element of equal reliability, by how much is the overall reliability improved?
For A: 1 - (1 - 0.92) ^ 2 = 0.9936
For B: 1 - (1 - 0.94) ^ 2 = 0.9964
For C: 1 - (1 - 0.91) ^ 2 = 0.9919
overall reliability = 0.9936 * 0.9964 * 0.9919
= 0.982004
How much is the overall reliability improved: = 0.982004 - 0.786968
= 0.195036
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